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Finding the Third Proportional to 435,084 and 612,698

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Solution

The third proportional to 435,084 and 612,698 is: 862,819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,084 : 612,698 = 612,698 : x
  2. Step 2: Convert to fraction form
    435,084/612,698 = 612,698/x
  3. Step 3: Cross multiply
    435,084x = 612,698 × 612,698
  4. Step 4: Simplify right side
    435,084x = 375,398,839,204
  5. Step 5: Solve for x
    x = 375,398,839,204/435,084
  6. Step 6: Final answer
    x = 862,819.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.