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Finding the Third Proportional to 280,876 and 585,088

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Solution

The third proportional to 280,876 and 585,088 is: 1,218,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,876 : 585,088 = 585,088 : x
  2. Step 2: Convert to fraction form
    280,876/585,088 = 585,088/x
  3. Step 3: Cross multiply
    280,876x = 585,088 × 585,088
  4. Step 4: Simplify right side
    280,876x = 342,327,967,744
  5. Step 5: Solve for x
    x = 342,327,967,744/280,876
  6. Step 6: Final answer
    x = 1,218,786.82

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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.