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Finding the Third Proportional to 450,032.63 and 657,274.50

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Solution

The third proportional to 450,032.63 and 657,274.50 is: 959,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,032.63 : 657,274.50 = 657,274.50 : x
  2. Step 2: Convert to fraction form
    450,032.63/657,274.50 = 657,274.50/x
  3. Step 3: Cross multiply
    450,032.63x = 657,274.50 × 657,274.50
  4. Step 4: Simplify right side
    450,032.63x = 432,009,768,350.25
  5. Step 5: Solve for x
    x = 432,009,768,350.25/450,032.63
  6. Step 6: Final answer
    x = 959,952.11

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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.