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Finding the Third Proportional to 268,271 and 558,580

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Solution

The third proportional to 268,271 and 558,580 is: 1,163,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,271 : 558,580 = 558,580 : x
  2. Step 2: Convert to fraction form
    268,271/558,580 = 558,580/x
  3. Step 3: Cross multiply
    268,271x = 558,580 × 558,580
  4. Step 4: Simplify right side
    268,271x = 312,011,616,400
  5. Step 5: Solve for x
    x = 312,011,616,400/268,271
  6. Step 6: Final answer
    x = 1,163,046.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.