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Finding the Third Proportional to 215,522 and 468,382.50

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Solution

The third proportional to 215,522 and 468,382.50 is: 1,017,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,522 : 468,382.50 = 468,382.50 : x
  2. Step 2: Convert to fraction form
    215,522/468,382.50 = 468,382.50/x
  3. Step 3: Cross multiply
    215,522x = 468,382.50 × 468,382.50
  4. Step 4: Simplify right side
    215,522x = 219,382,166,306.25
  5. Step 5: Solve for x
    x = 219,382,166,306.25/215,522
  6. Step 6: Final answer
    x = 1,017,910.78

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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.