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Finding the Third Proportional to 393,928 and 866,584

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Solution

The third proportional to 393,928 and 866,584 is: 1,906,358.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,928 : 866,584 = 866,584 : x
  2. Step 2: Convert to fraction form
    393,928/866,584 = 866,584/x
  3. Step 3: Cross multiply
    393,928x = 866,584 × 866,584
  4. Step 4: Simplify right side
    393,928x = 750,967,829,056
  5. Step 5: Solve for x
    x = 750,967,829,056/393,928
  6. Step 6: Final answer
    x = 1,906,358.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.