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Finding the Third Proportional to 268,594 and 585,134

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Solution

The third proportional to 268,594 and 585,134 is: 1,274,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,594 : 585,134 = 585,134 : x
  2. Step 2: Convert to fraction form
    268,594/585,134 = 585,134/x
  3. Step 3: Cross multiply
    268,594x = 585,134 × 585,134
  4. Step 4: Simplify right side
    268,594x = 342,381,797,956
  5. Step 5: Solve for x
    x = 342,381,797,956/268,594
  6. Step 6: Final answer
    x = 1,274,718.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.