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Finding the Third Proportional to 215,270 and 469,291.50

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Solution

The third proportional to 215,270 and 469,291.50 is: 1,023,061.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,270 : 469,291.50 = 469,291.50 : x
  2. Step 2: Convert to fraction form
    215,270/469,291.50 = 469,291.50/x
  3. Step 3: Cross multiply
    215,270x = 469,291.50 × 469,291.50
  4. Step 4: Simplify right side
    215,270x = 220,234,511,972.25
  5. Step 5: Solve for x
    x = 220,234,511,972.25/215,270
  6. Step 6: Final answer
    x = 1,023,061.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.