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Finding the Third Proportional to 337,123 and 724,269

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Solution

The third proportional to 337,123 and 724,269 is: 1,556,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,123 : 724,269 = 724,269 : x
  2. Step 2: Convert to fraction form
    337,123/724,269 = 724,269/x
  3. Step 3: Cross multiply
    337,123x = 724,269 × 724,269
  4. Step 4: Simplify right side
    337,123x = 524,565,584,361
  5. Step 5: Solve for x
    x = 524,565,584,361/337,123
  6. Step 6: Final answer
    x = 1,556,006.52

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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.