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Finding the Third Proportional to 337,716 and 517,806

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Solution

The third proportional to 337,716 and 517,806 is: 793,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,716 : 517,806 = 517,806 : x
  2. Step 2: Convert to fraction form
    337,716/517,806 = 517,806/x
  3. Step 3: Cross multiply
    337,716x = 517,806 × 517,806
  4. Step 4: Simplify right side
    337,716x = 268,123,053,636
  5. Step 5: Solve for x
    x = 268,123,053,636/337,716
  6. Step 6: Final answer
    x = 793,930.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.