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Finding the Third Proportional to 322,397 and 700,767

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Solution

The third proportional to 322,397 and 700,767 is: 1,523,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,397 : 700,767 = 700,767 : x
  2. Step 2: Convert to fraction form
    322,397/700,767 = 700,767/x
  3. Step 3: Cross multiply
    322,397x = 700,767 × 700,767
  4. Step 4: Simplify right side
    322,397x = 491,074,388,289
  5. Step 5: Solve for x
    x = 491,074,388,289/322,397
  6. Step 6: Final answer
    x = 1,523,197.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.