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Finding the Third Proportional to 202,787.25 and 469,438.50

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Solution

The third proportional to 202,787.25 and 469,438.50 is: 1,086,717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,787.25 : 469,438.50 = 469,438.50 : x
  2. Step 2: Convert to fraction form
    202,787.25/469,438.50 = 469,438.50/x
  3. Step 3: Cross multiply
    202,787.25x = 469,438.50 × 469,438.50
  4. Step 4: Simplify right side
    202,787.25x = 220,372,505,282.25
  5. Step 5: Solve for x
    x = 220,372,505,282.25/202,787.25
  6. Step 6: Final answer
    x = 1,086,717.76

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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.