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Finding the Third Proportional to 337,252 and 508,092

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Solution

The third proportional to 337,252 and 508,092 is: 765,473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,252 : 508,092 = 508,092 : x
  2. Step 2: Convert to fraction form
    337,252/508,092 = 508,092/x
  3. Step 3: Cross multiply
    337,252x = 508,092 × 508,092
  4. Step 4: Simplify right side
    337,252x = 258,157,480,464
  5. Step 5: Solve for x
    x = 258,157,480,464/337,252
  6. Step 6: Final answer
    x = 765,473.53

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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.