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Finding the Third Proportional to 733,782 and 978,472

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Solution

The third proportional to 733,782 and 978,472 is: 1,304,757.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,782 : 978,472 = 978,472 : x
  2. Step 2: Convert to fraction form
    733,782/978,472 = 978,472/x
  3. Step 3: Cross multiply
    733,782x = 978,472 × 978,472
  4. Step 4: Simplify right side
    733,782x = 957,407,454,784
  5. Step 5: Solve for x
    x = 957,407,454,784/733,782
  6. Step 6: Final answer
    x = 1,304,757.35

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.