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Finding the Third Proportional to 252,686 and 544,540

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Solution

The third proportional to 252,686 and 544,540 is: 1,173,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,686 : 544,540 = 544,540 : x
  2. Step 2: Convert to fraction form
    252,686/544,540 = 544,540/x
  3. Step 3: Cross multiply
    252,686x = 544,540 × 544,540
  4. Step 4: Simplify right side
    252,686x = 296,523,811,600
  5. Step 5: Solve for x
    x = 296,523,811,600/252,686
  6. Step 6: Final answer
    x = 1,173,487.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.