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Finding the Third Proportional to 463,453.31 and 661,472.16

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Solution

The third proportional to 463,453.31 and 661,472.16 is: 944,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,453.31 : 661,472.16 = 661,472.16 : x
  2. Step 2: Convert to fraction form
    463,453.31/661,472.16 = 661,472.16/x
  3. Step 3: Cross multiply
    463,453.31x = 661,472.16 × 661,472.16
  4. Step 4: Simplify right side
    463,453.31x = 437,545,413,494.02
  5. Step 5: Solve for x
    x = 437,545,413,494.02/463,453.31
  6. Step 6: Final answer
    x = 944,098.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.