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Finding the Third Proportional to 337,209 and 508,041

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Solution

The third proportional to 337,209 and 508,041 is: 765,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,209 : 508,041 = 508,041 : x
  2. Step 2: Convert to fraction form
    337,209/508,041 = 508,041/x
  3. Step 3: Cross multiply
    337,209x = 508,041 × 508,041
  4. Step 4: Simplify right side
    337,209x = 258,105,657,681
  5. Step 5: Solve for x
    x = 258,105,657,681/337,209
  6. Step 6: Final answer
    x = 765,417.46

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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.