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Finding the Third Proportional to 656,722 and 998,325

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Solution

The third proportional to 656,722 and 998,325 is: 1,517,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,722 : 998,325 = 998,325 : x
  2. Step 2: Convert to fraction form
    656,722/998,325 = 998,325/x
  3. Step 3: Cross multiply
    656,722x = 998,325 × 998,325
  4. Step 4: Simplify right side
    656,722x = 996,652,805,625
  5. Step 5: Solve for x
    x = 996,652,805,625/656,722
  6. Step 6: Final answer
    x = 1,517,617.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.