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Finding the Third Proportional to 550,830.38 and 1,167,787.13

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Solution

The third proportional to 550,830.38 and 1,167,787.13 is: 2,475,765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,830.38 : 1,167,787.13 = 1,167,787.13 : x
  2. Step 2: Convert to fraction form
    550,830.38/1,167,787.13 = 1,167,787.13/x
  3. Step 3: Cross multiply
    550,830.38x = 1,167,787.13 × 1,167,787.13
  4. Step 4: Simplify right side
    550,830.38x = 1,363,726,769,315.77
  5. Step 5: Solve for x
    x = 1,363,726,769,315.77/550,830.38
  6. Step 6: Final answer
    x = 2,475,765.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.