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Finding the Third Proportional to 241,250 and 514,561

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Solution

The third proportional to 241,250 and 514,561 is: 1,097,504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,250 : 514,561 = 514,561 : x
  2. Step 2: Convert to fraction form
    241,250/514,561 = 514,561/x
  3. Step 3: Cross multiply
    241,250x = 514,561 × 514,561
  4. Step 4: Simplify right side
    241,250x = 264,773,022,721
  5. Step 5: Solve for x
    x = 264,773,022,721/241,250
  6. Step 6: Final answer
    x = 1,097,504.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.