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Finding the Third Proportional to 323,279 and 706,747

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Solution

The third proportional to 323,279 and 706,747 is: 1,545,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,279 : 706,747 = 706,747 : x
  2. Step 2: Convert to fraction form
    323,279/706,747 = 706,747/x
  3. Step 3: Cross multiply
    323,279x = 706,747 × 706,747
  4. Step 4: Simplify right side
    323,279x = 499,491,322,009
  5. Step 5: Solve for x
    x = 499,491,322,009/323,279
  6. Step 6: Final answer
    x = 1,545,078.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.