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Finding the Third Proportional to 438,324.75 and 944,356.50

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Solution

The third proportional to 438,324.75 and 944,356.50 is: 2,034,585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,324.75 : 944,356.50 = 944,356.50 : x
  2. Step 2: Convert to fraction form
    438,324.75/944,356.50 = 944,356.50/x
  3. Step 3: Cross multiply
    438,324.75x = 944,356.50 × 944,356.50
  4. Step 4: Simplify right side
    438,324.75x = 891,809,199,092.25
  5. Step 5: Solve for x
    x = 891,809,199,092.25/438,324.75
  6. Step 6: Final answer
    x = 2,034,585.54

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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.