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Finding the Third Proportional to 202,787.72 and 469,439.72

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Solution

The third proportional to 202,787.72 and 469,439.72 is: 1,086,720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,787.72 : 469,439.72 = 469,439.72 : x
  2. Step 2: Convert to fraction form
    202,787.72/469,439.72 = 469,439.72/x
  3. Step 3: Cross multiply
    202,787.72x = 469,439.72 × 469,439.72
  4. Step 4: Simplify right side
    202,787.72x = 220,373,649,540.08
  5. Step 5: Solve for x
    x = 220,373,649,540.08/202,787.72
  6. Step 6: Final answer
    x = 1,086,720.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.