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Finding the Third Proportional to 768,401.25 and 1,234,614.75

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Solution

The third proportional to 768,401.25 and 1,234,614.75 is: 1,983,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,401.25 : 1,234,614.75 = 1,234,614.75 : x
  2. Step 2: Convert to fraction form
    768,401.25/1,234,614.75 = 1,234,614.75/x
  3. Step 3: Cross multiply
    768,401.25x = 1,234,614.75 × 1,234,614.75
  4. Step 4: Simplify right side
    768,401.25x = 1,524,273,580,917.56
  5. Step 5: Solve for x
    x = 1,524,273,580,917.56/768,401.25
  6. Step 6: Final answer
    x = 1,983,694.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.