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Finding the Third Proportional to 241,473.66 and 524,431.97

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Solution

The third proportional to 241,473.66 and 524,431.97 is: 1,138,960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,473.66 : 524,431.97 = 524,431.97 : x
  2. Step 2: Convert to fraction form
    241,473.66/524,431.97 = 524,431.97/x
  3. Step 3: Cross multiply
    241,473.66x = 524,431.97 × 524,431.97
  4. Step 4: Simplify right side
    241,473.66x = 275,028,889,847.00
  5. Step 5: Solve for x
    x = 275,028,889,847.00/241,473.66
  6. Step 6: Final answer
    x = 1,138,960.22

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Why These Related Problems?

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