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Finding the Third Proportional to 189,540.28 and 416,988.56

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Solution

The third proportional to 189,540.28 and 416,988.56 is: 917,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,540.28 : 416,988.56 = 416,988.56 : x
  2. Step 2: Convert to fraction form
    189,540.28/416,988.56 = 416,988.56/x
  3. Step 3: Cross multiply
    189,540.28x = 416,988.56 × 416,988.56
  4. Step 4: Simplify right side
    189,540.28x = 173,879,461,255.82
  5. Step 5: Solve for x
    x = 173,879,461,255.82/189,540.28
  6. Step 6: Final answer
    x = 917,374.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.