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Finding the Third Proportional to 207,471.75 and 422,557

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Solution

The third proportional to 207,471.75 and 422,557 is: 860,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,471.75 : 422,557 = 422,557 : x
  2. Step 2: Convert to fraction form
    207,471.75/422,557 = 422,557/x
  3. Step 3: Cross multiply
    207,471.75x = 422,557 × 422,557
  4. Step 4: Simplify right side
    207,471.75x = 178,554,418,249
  5. Step 5: Solve for x
    x = 178,554,418,249/207,471.75
  6. Step 6: Final answer
    x = 860,620.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.