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Finding the Third Proportional to 337,092 and 724,216

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Solution

The third proportional to 337,092 and 724,216 is: 1,555,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,092 : 724,216 = 724,216 : x
  2. Step 2: Convert to fraction form
    337,092/724,216 = 724,216/x
  3. Step 3: Cross multiply
    337,092x = 724,216 × 724,216
  4. Step 4: Simplify right side
    337,092x = 524,488,814,656
  5. Step 5: Solve for x
    x = 524,488,814,656/337,092
  6. Step 6: Final answer
    x = 1,555,921.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.