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Finding the Third Proportional to 243,279 and 387,404

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Solution

The third proportional to 243,279 and 387,404 is: 616,912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,279 : 387,404 = 387,404 : x
  2. Step 2: Convert to fraction form
    243,279/387,404 = 387,404/x
  3. Step 3: Cross multiply
    243,279x = 387,404 × 387,404
  4. Step 4: Simplify right side
    243,279x = 150,081,859,216
  5. Step 5: Solve for x
    x = 150,081,859,216/243,279
  6. Step 6: Final answer
    x = 616,912.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.