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Finding the Third Proportional to 241,452.56 and 524,422.69

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Solution

The third proportional to 241,452.56 and 524,422.69 is: 1,139,019.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,452.56 : 524,422.69 = 524,422.69 : x
  2. Step 2: Convert to fraction form
    241,452.56/524,422.69 = 524,422.69/x
  3. Step 3: Cross multiply
    241,452.56x = 524,422.69 × 524,422.69
  4. Step 4: Simplify right side
    241,452.56x = 275,019,155,164.72
  5. Step 5: Solve for x
    x = 275,019,155,164.72/241,452.56
  6. Step 6: Final answer
    x = 1,139,019.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.