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Finding the Third Proportional to 337,702 and 534,742

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Solution

The third proportional to 337,702 and 534,742 is: 846,749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,702 : 534,742 = 534,742 : x
  2. Step 2: Convert to fraction form
    337,702/534,742 = 534,742/x
  3. Step 3: Cross multiply
    337,702x = 534,742 × 534,742
  4. Step 4: Simplify right side
    337,702x = 285,949,006,564
  5. Step 5: Solve for x
    x = 285,949,006,564/337,702
  6. Step 6: Final answer
    x = 846,749.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.