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Finding the Third Proportional to 337,578 and 508,531

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Solution

The third proportional to 337,578 and 508,531 is: 766,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,578 : 508,531 = 508,531 : x
  2. Step 2: Convert to fraction form
    337,578/508,531 = 508,531/x
  3. Step 3: Cross multiply
    337,578x = 508,531 × 508,531
  4. Step 4: Simplify right side
    337,578x = 258,603,777,961
  5. Step 5: Solve for x
    x = 258,603,777,961/337,578
  6. Step 6: Final answer
    x = 766,056.37

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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.