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Finding the Third Proportional to 217,861 and 469,093

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Solution

The third proportional to 217,861 and 469,093 is: 1,010,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,861 : 469,093 = 469,093 : x
  2. Step 2: Convert to fraction form
    217,861/469,093 = 469,093/x
  3. Step 3: Cross multiply
    217,861x = 469,093 × 469,093
  4. Step 4: Simplify right side
    217,861x = 220,048,242,649
  5. Step 5: Solve for x
    x = 220,048,242,649/217,861
  6. Step 6: Final answer
    x = 1,010,039.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.