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Finding the Third Proportional to 272,634 and 558,867

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Solution

The third proportional to 272,634 and 558,867 is: 1,145,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,634 : 558,867 = 558,867 : x
  2. Step 2: Convert to fraction form
    272,634/558,867 = 558,867/x
  3. Step 3: Cross multiply
    272,634x = 558,867 × 558,867
  4. Step 4: Simplify right side
    272,634x = 312,332,323,689
  5. Step 5: Solve for x
    x = 312,332,323,689/272,634
  6. Step 6: Final answer
    x = 1,145,610.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.