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Finding the Third Proportional to 244,727 and 541,861

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Solution

The third proportional to 244,727 and 541,861 is: 1,199,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,727 : 541,861 = 541,861 : x
  2. Step 2: Convert to fraction form
    244,727/541,861 = 541,861/x
  3. Step 3: Cross multiply
    244,727x = 541,861 × 541,861
  4. Step 4: Simplify right side
    244,727x = 293,613,343,321
  5. Step 5: Solve for x
    x = 293,613,343,321/244,727
  6. Step 6: Final answer
    x = 1,199,758.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.