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Finding the Third Proportional to 337,566 and 508,509

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Solution

The third proportional to 337,566 and 508,509 is: 766,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,566 : 508,509 = 508,509 : x
  2. Step 2: Convert to fraction form
    337,566/508,509 = 508,509/x
  3. Step 3: Cross multiply
    337,566x = 508,509 × 508,509
  4. Step 4: Simplify right side
    337,566x = 258,581,403,081
  5. Step 5: Solve for x
    x = 258,581,403,081/337,566
  6. Step 6: Final answer
    x = 766,017.32

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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.