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Finding the Third Proportional to 428,787.50 and 932,305.50

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Solution

The third proportional to 428,787.50 and 932,305.50 is: 2,027,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,787.50 : 932,305.50 = 932,305.50 : x
  2. Step 2: Convert to fraction form
    428,787.50/932,305.50 = 932,305.50/x
  3. Step 3: Cross multiply
    428,787.50x = 932,305.50 × 932,305.50
  4. Step 4: Simplify right side
    428,787.50x = 869,193,545,330.25
  5. Step 5: Solve for x
    x = 869,193,545,330.25/428,787.50
  6. Step 6: Final answer
    x = 2,027,096.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.