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Finding the Third Proportional to 310,084 and 667,496

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Solution

The third proportional to 310,084 and 667,496 is: 1,436,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,084 : 667,496 = 667,496 : x
  2. Step 2: Convert to fraction form
    310,084/667,496 = 667,496/x
  3. Step 3: Cross multiply
    310,084x = 667,496 × 667,496
  4. Step 4: Simplify right side
    310,084x = 445,550,910,016
  5. Step 5: Solve for x
    x = 445,550,910,016/310,084
  6. Step 6: Final answer
    x = 1,436,871.65

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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.