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Finding the Third Proportional to 321,876 and 472,962

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Solution

The third proportional to 321,876 and 472,962 is: 694,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,876 : 472,962 = 472,962 : x
  2. Step 2: Convert to fraction form
    321,876/472,962 = 472,962/x
  3. Step 3: Cross multiply
    321,876x = 472,962 × 472,962
  4. Step 4: Simplify right side
    321,876x = 223,693,053,444
  5. Step 5: Solve for x
    x = 223,693,053,444/321,876
  6. Step 6: Final answer
    x = 694,966.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.