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Finding the Third Proportional to 526,249.97 and 769,395.66

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Solution

The third proportional to 526,249.97 and 769,395.66 is: 1,124,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,249.97 : 769,395.66 = 769,395.66 : x
  2. Step 2: Convert to fraction form
    526,249.97/769,395.66 = 769,395.66/x
  3. Step 3: Cross multiply
    526,249.97x = 769,395.66 × 769,395.66
  4. Step 4: Simplify right side
    526,249.97x = 591,969,675,856.37
  5. Step 5: Solve for x
    x = 591,969,675,856.37/526,249.97
  6. Step 6: Final answer
    x = 1,124,883.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.