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Finding the Third Proportional to 250,696 and 547,122

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Solution

The third proportional to 250,696 and 547,122 is: 1,194,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,696 : 547,122 = 547,122 : x
  2. Step 2: Convert to fraction form
    250,696/547,122 = 547,122/x
  3. Step 3: Cross multiply
    250,696x = 547,122 × 547,122
  4. Step 4: Simplify right side
    250,696x = 299,342,482,884
  5. Step 5: Solve for x
    x = 299,342,482,884/250,696
  6. Step 6: Final answer
    x = 1,194,045.71

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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.