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Finding the Third Proportional to 450,005.63 and 657,239.06

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Solution

The third proportional to 450,005.63 and 657,239.06 is: 959,906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,005.63 : 657,239.06 = 657,239.06 : x
  2. Step 2: Convert to fraction form
    450,005.63/657,239.06 = 657,239.06/x
  3. Step 3: Cross multiply
    450,005.63x = 657,239.06 × 657,239.06
  4. Step 4: Simplify right side
    450,005.63x = 431,963,185,275.88
  5. Step 5: Solve for x
    x = 431,963,185,275.88/450,005.63
  6. Step 6: Final answer
    x = 959,906.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.