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Finding the Third Proportional to 268,266 and 558,570

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Solution

The third proportional to 268,266 and 558,570 is: 1,163,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,266 : 558,570 = 558,570 : x
  2. Step 2: Convert to fraction form
    268,266/558,570 = 558,570/x
  3. Step 3: Cross multiply
    268,266x = 558,570 × 558,570
  4. Step 4: Simplify right side
    268,266x = 312,000,444,900
  5. Step 5: Solve for x
    x = 312,000,444,900/268,266
  6. Step 6: Final answer
    x = 1,163,026.42

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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.