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Finding the Third Proportional to 268,274 and 558,586

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Solution

The third proportional to 268,274 and 558,586 is: 1,163,058.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,274 : 558,586 = 558,586 : x
  2. Step 2: Convert to fraction form
    268,274/558,586 = 558,586/x
  3. Step 3: Cross multiply
    268,274x = 558,586 × 558,586
  4. Step 4: Simplify right side
    268,274x = 312,018,319,396
  5. Step 5: Solve for x
    x = 312,018,319,396/268,274
  6. Step 6: Final answer
    x = 1,163,058.36

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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.