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Finding the Third Proportional to 658,179 and 982,962

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Solution

The third proportional to 658,179 and 982,962 is: 1,468,011.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,179 : 982,962 = 982,962 : x
  2. Step 2: Convert to fraction form
    658,179/982,962 = 982,962/x
  3. Step 3: Cross multiply
    658,179x = 982,962 × 982,962
  4. Step 4: Simplify right side
    658,179x = 966,214,293,444
  5. Step 5: Solve for x
    x = 966,214,293,444/658,179
  6. Step 6: Final answer
    x = 1,468,011.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.