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Finding the Third Proportional to 252,804.38 and 542,787.75

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Solution

The third proportional to 252,804.38 and 542,787.75 is: 1,165,401.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,804.38 : 542,787.75 = 542,787.75 : x
  2. Step 2: Convert to fraction form
    252,804.38/542,787.75 = 542,787.75/x
  3. Step 3: Cross multiply
    252,804.38x = 542,787.75 × 542,787.75
  4. Step 4: Simplify right side
    252,804.38x = 294,618,541,550.06
  5. Step 5: Solve for x
    x = 294,618,541,550.06/252,804.38
  6. Step 6: Final answer
    x = 1,165,401.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.