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Finding the Third Proportional to 215,810 and 474,448

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Solution

The third proportional to 215,810 and 474,448 is: 1,043,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,810 : 474,448 = 474,448 : x
  2. Step 2: Convert to fraction form
    215,810/474,448 = 474,448/x
  3. Step 3: Cross multiply
    215,810x = 474,448 × 474,448
  4. Step 4: Simplify right side
    215,810x = 225,100,904,704
  5. Step 5: Solve for x
    x = 225,100,904,704/215,810
  6. Step 6: Final answer
    x = 1,043,051.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.