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Finding the Third Proportional to 337,102 and 724,230

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Solution

The third proportional to 337,102 and 724,230 is: 1,555,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,102 : 724,230 = 724,230 : x
  2. Step 2: Convert to fraction form
    337,102/724,230 = 724,230/x
  3. Step 3: Cross multiply
    337,102x = 724,230 × 724,230
  4. Step 4: Simplify right side
    337,102x = 524,509,092,900
  5. Step 5: Solve for x
    x = 524,509,092,900/337,102
  6. Step 6: Final answer
    x = 1,555,935.87

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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.