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Finding the Third Proportional to 207,483.75 and 422,574.75

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Solution

The third proportional to 207,483.75 and 422,574.75 is: 860,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,483.75 : 422,574.75 = 422,574.75 : x
  2. Step 2: Convert to fraction form
    207,483.75/422,574.75 = 422,574.75/x
  3. Step 3: Cross multiply
    207,483.75x = 422,574.75 × 422,574.75
  4. Step 4: Simplify right side
    207,483.75x = 178,569,419,337.56
  5. Step 5: Solve for x
    x = 178,569,419,337.56/207,483.75
  6. Step 6: Final answer
    x = 860,642.91

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