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Finding the Third Proportional to 319,827,973.50 and 483,678,560.25

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Solution

The third proportional to 319,827,973.50 and 483,678,560.25 is: 731,471,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,827,973.50 : 483,678,560.25 = 483,678,560.25 : x
  2. Step 2: Convert to fraction form
    319,827,973.50/483,678,560.25 = 483,678,560.25/x
  3. Step 3: Cross multiply
    319,827,973.50x = 483,678,560.25 × 483,678,560.25
  4. Step 4: Simplify right side
    319,827,973.50x = 233,944,949,645,512,896
  5. Step 5: Solve for x
    x = 233,944,949,645,512,896/319,827,973.50
  6. Step 6: Final answer
    x = 731,471,193.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.