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Finding the Third Proportional to 733,750 and 978,424

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Solution

The third proportional to 733,750 and 978,424 is: 1,304,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,750 : 978,424 = 978,424 : x
  2. Step 2: Convert to fraction form
    733,750/978,424 = 978,424/x
  3. Step 3: Cross multiply
    733,750x = 978,424 × 978,424
  4. Step 4: Simplify right side
    733,750x = 957,313,523,776
  5. Step 5: Solve for x
    x = 957,313,523,776/733,750
  6. Step 6: Final answer
    x = 1,304,686.23

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Why These Related Problems?

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