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Finding the Third Proportional to 437,951.25 and 944,266.50

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Solution

The third proportional to 437,951.25 and 944,266.50 is: 2,035,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,951.25 : 944,266.50 = 944,266.50 : x
  2. Step 2: Convert to fraction form
    437,951.25/944,266.50 = 944,266.50/x
  3. Step 3: Cross multiply
    437,951.25x = 944,266.50 × 944,266.50
  4. Step 4: Simplify right side
    437,951.25x = 891,639,223,022.25
  5. Step 5: Solve for x
    x = 891,639,223,022.25/437,951.25
  6. Step 6: Final answer
    x = 2,035,932.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.