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Finding the Third Proportional to 258,722 and 565,540

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Solution

The third proportional to 258,722 and 565,540 is: 1,236,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,722 : 565,540 = 565,540 : x
  2. Step 2: Convert to fraction form
    258,722/565,540 = 565,540/x
  3. Step 3: Cross multiply
    258,722x = 565,540 × 565,540
  4. Step 4: Simplify right side
    258,722x = 319,835,491,600
  5. Step 5: Solve for x
    x = 319,835,491,600/258,722
  6. Step 6: Final answer
    x = 1,236,212.97

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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.