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Finding the Third Proportional to 241,727 and 530,110

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Solution

The third proportional to 241,727 and 530,110 is: 1,162,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,727 : 530,110 = 530,110 : x
  2. Step 2: Convert to fraction form
    241,727/530,110 = 530,110/x
  3. Step 3: Cross multiply
    241,727x = 530,110 × 530,110
  4. Step 4: Simplify right side
    241,727x = 281,016,612,100
  5. Step 5: Solve for x
    x = 281,016,612,100/241,727
  6. Step 6: Final answer
    x = 1,162,537.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.