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Finding the Third Proportional to 215,787.38 and 504,010.13

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Solution

The third proportional to 215,787.38 and 504,010.13 is: 1,177,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,787.38 : 504,010.13 = 504,010.13 : x
  2. Step 2: Convert to fraction form
    215,787.38/504,010.13 = 504,010.13/x
  3. Step 3: Cross multiply
    215,787.38x = 504,010.13 × 504,010.13
  4. Step 4: Simplify right side
    215,787.38x = 254,026,206,102.52
  5. Step 5: Solve for x
    x = 254,026,206,102.52/215,787.38
  6. Step 6: Final answer
    x = 1,177,206.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.