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Finding the Third Proportional to 524,617.50 and 797,181

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Solution

The third proportional to 524,617.50 and 797,181 is: 1,211,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,617.50 : 797,181 = 797,181 : x
  2. Step 2: Convert to fraction form
    524,617.50/797,181 = 797,181/x
  3. Step 3: Cross multiply
    524,617.50x = 797,181 × 797,181
  4. Step 4: Simplify right side
    524,617.50x = 635,497,546,761
  5. Step 5: Solve for x
    x = 635,497,546,761/524,617.50
  6. Step 6: Final answer
    x = 1,211,354.08

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