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Finding the Third Proportional to 524,566.13 and 797,105.81

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Solution

The third proportional to 524,566.13 and 797,105.81 is: 1,211,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,566.13 : 797,105.81 = 797,105.81 : x
  2. Step 2: Convert to fraction form
    524,566.13/797,105.81 = 797,105.81/x
  3. Step 3: Cross multiply
    524,566.13x = 797,105.81 × 797,105.81
  4. Step 4: Simplify right side
    524,566.13x = 635,377,676,321.29
  5. Step 5: Solve for x
    x = 635,377,676,321.29/524,566.13
  6. Step 6: Final answer
    x = 1,211,244.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.