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Finding the Third Proportional to 227,956 and 497,870

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Solution

The third proportional to 227,956 and 497,870 is: 1,087,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,956 : 497,870 = 497,870 : x
  2. Step 2: Convert to fraction form
    227,956/497,870 = 497,870/x
  3. Step 3: Cross multiply
    227,956x = 497,870 × 497,870
  4. Step 4: Simplify right side
    227,956x = 247,874,536,900
  5. Step 5: Solve for x
    x = 247,874,536,900/227,956
  6. Step 6: Final answer
    x = 1,087,378.87

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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.