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Finding the Third Proportional to 524,647.13 and 810,217.69

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Solution

The third proportional to 524,647.13 and 810,217.69 is: 1,251,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,647.13 : 810,217.69 = 810,217.69 : x
  2. Step 2: Convert to fraction form
    524,647.13/810,217.69 = 810,217.69/x
  3. Step 3: Cross multiply
    524,647.13x = 810,217.69 × 810,217.69
  4. Step 4: Simplify right side
    524,647.13x = 656,452,701,137.85
  5. Step 5: Solve for x
    x = 656,452,701,137.85/524,647.13
  6. Step 6: Final answer
    x = 1,251,227.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.