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Finding the Third Proportional to 733,786 and 978,478

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Solution

The third proportional to 733,786 and 978,478 is: 1,304,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,786 : 978,478 = 978,478 : x
  2. Step 2: Convert to fraction form
    733,786/978,478 = 978,478/x
  3. Step 3: Cross multiply
    733,786x = 978,478 × 978,478
  4. Step 4: Simplify right side
    733,786x = 957,419,196,484
  5. Step 5: Solve for x
    x = 957,419,196,484/733,786
  6. Step 6: Final answer
    x = 1,304,766.23

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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.