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Finding the Third Proportional to 438,353.25 and 944,422.50

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Solution

The third proportional to 438,353.25 and 944,422.50 is: 2,034,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,353.25 : 944,422.50 = 944,422.50 : x
  2. Step 2: Convert to fraction form
    438,353.25/944,422.50 = 944,422.50/x
  3. Step 3: Cross multiply
    438,353.25x = 944,422.50 × 944,422.50
  4. Step 4: Simplify right side
    438,353.25x = 891,933,858,506.25
  5. Step 5: Solve for x
    x = 891,933,858,506.25/438,353.25
  6. Step 6: Final answer
    x = 2,034,737.64

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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.