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Finding the Third Proportional to 202,626 and 469,081

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Solution

The third proportional to 202,626 and 469,081 is: 1,085,926.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,626 : 469,081 = 469,081 : x
  2. Step 2: Convert to fraction form
    202,626/469,081 = 469,081/x
  3. Step 3: Cross multiply
    202,626x = 469,081 × 469,081
  4. Step 4: Simplify right side
    202,626x = 220,036,984,561
  5. Step 5: Solve for x
    x = 220,036,984,561/202,626
  6. Step 6: Final answer
    x = 1,085,926.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.