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Finding the Third Proportional to 337,056 and 506,448

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Solution

The third proportional to 337,056 and 506,448 is: 760,970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,056 : 506,448 = 506,448 : x
  2. Step 2: Convert to fraction form
    337,056/506,448 = 506,448/x
  3. Step 3: Cross multiply
    337,056x = 506,448 × 506,448
  4. Step 4: Simplify right side
    337,056x = 256,489,576,704
  5. Step 5: Solve for x
    x = 256,489,576,704/337,056
  6. Step 6: Final answer
    x = 760,970.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.