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Finding the Third Proportional to 215,982 and 469,660

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Solution

The third proportional to 215,982 and 469,660 is: 1,021,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,982 : 469,660 = 469,660 : x
  2. Step 2: Convert to fraction form
    215,982/469,660 = 469,660/x
  3. Step 3: Cross multiply
    215,982x = 469,660 × 469,660
  4. Step 4: Simplify right side
    215,982x = 220,580,515,600
  5. Step 5: Solve for x
    x = 220,580,515,600/215,982
  6. Step 6: Final answer
    x = 1,021,291.20

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