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Finding the Third Proportional to 215,802 and 474,438

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Solution

The third proportional to 215,802 and 474,438 is: 1,043,046.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,802 : 474,438 = 474,438 : x
  2. Step 2: Convert to fraction form
    215,802/474,438 = 474,438/x
  3. Step 3: Cross multiply
    215,802x = 474,438 × 474,438
  4. Step 4: Simplify right side
    215,802x = 225,091,415,844
  5. Step 5: Solve for x
    x = 225,091,415,844/215,802
  6. Step 6: Final answer
    x = 1,043,046.01

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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.