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Finding the Third Proportional to 258,540 and 558,591

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Solution

The third proportional to 258,540 and 558,591 is: 1,206,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,540 : 558,591 = 558,591 : x
  2. Step 2: Convert to fraction form
    258,540/558,591 = 558,591/x
  3. Step 3: Cross multiply
    258,540x = 558,591 × 558,591
  4. Step 4: Simplify right side
    258,540x = 312,023,905,281
  5. Step 5: Solve for x
    x = 312,023,905,281/258,540
  6. Step 6: Final answer
    x = 1,206,868.98

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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.