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Finding the Third Proportional to 229,081 and 473,876

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Solution

The third proportional to 229,081 and 473,876 is: 980,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,081 : 473,876 = 473,876 : x
  2. Step 2: Convert to fraction form
    229,081/473,876 = 473,876/x
  3. Step 3: Cross multiply
    229,081x = 473,876 × 473,876
  4. Step 4: Simplify right side
    229,081x = 224,558,463,376
  5. Step 5: Solve for x
    x = 224,558,463,376/229,081
  6. Step 6: Final answer
    x = 980,257.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.