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Finding the Third Proportional to 438,544.50 and 944,765.25

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Solution

The third proportional to 438,544.50 and 944,765.25 is: 2,035,326.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,544.50 : 944,765.25 = 944,765.25 : x
  2. Step 2: Convert to fraction form
    438,544.50/944,765.25 = 944,765.25/x
  3. Step 3: Cross multiply
    438,544.50x = 944,765.25 × 944,765.25
  4. Step 4: Simplify right side
    438,544.50x = 892,581,377,607.56
  5. Step 5: Solve for x
    x = 892,581,377,607.56/438,544.50
  6. Step 6: Final answer
    x = 2,035,326.81

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Why These Related Problems?

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