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Finding the Third Proportional to 414,302 and 639,769

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Solution

The third proportional to 414,302 and 639,769 is: 987,937.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,302 : 639,769 = 639,769 : x
  2. Step 2: Convert to fraction form
    414,302/639,769 = 639,769/x
  3. Step 3: Cross multiply
    414,302x = 639,769 × 639,769
  4. Step 4: Simplify right side
    414,302x = 409,304,373,361
  5. Step 5: Solve for x
    x = 409,304,373,361/414,302
  6. Step 6: Final answer
    x = 987,937.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.