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Finding the Third Proportional to 925,256.25 and 1,451,785.50

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Solution

The third proportional to 925,256.25 and 1,451,785.50 is: 2,277,943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,256.25 : 1,451,785.50 = 1,451,785.50 : x
  2. Step 2: Convert to fraction form
    925,256.25/1,451,785.50 = 1,451,785.50/x
  3. Step 3: Cross multiply
    925,256.25x = 1,451,785.50 × 1,451,785.50
  4. Step 4: Simplify right side
    925,256.25x = 2,107,681,138,010.25
  5. Step 5: Solve for x
    x = 2,107,681,138,010.25/925,256.25
  6. Step 6: Final answer
    x = 2,277,943.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.