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Finding the Third Proportional to 215,851.50 and 474,531.75

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Solution

The third proportional to 215,851.50 and 474,531.75 is: 1,043,218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,851.50 : 474,531.75 = 474,531.75 : x
  2. Step 2: Convert to fraction form
    215,851.50/474,531.75 = 474,531.75/x
  3. Step 3: Cross multiply
    215,851.50x = 474,531.75 × 474,531.75
  4. Step 4: Simplify right side
    215,851.50x = 225,180,381,758.06
  5. Step 5: Solve for x
    x = 225,180,381,758.06/215,851.50
  6. Step 6: Final answer
    x = 1,043,218.98

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Why These Related Problems?

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