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Finding the Third Proportional to 638,269.88 and 958,083.19

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Solution

The third proportional to 638,269.88 and 958,083.19 is: 1,438,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,269.88 : 958,083.19 = 958,083.19 : x
  2. Step 2: Convert to fraction form
    638,269.88/958,083.19 = 958,083.19/x
  3. Step 3: Cross multiply
    638,269.88x = 958,083.19 × 958,083.19
  4. Step 4: Simplify right side
    638,269.88x = 917,923,394,170.16
  5. Step 5: Solve for x
    x = 917,923,394,170.16/638,269.88
  6. Step 6: Final answer
    x = 1,438,143.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.