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Finding the Third Proportional to 434,028.38 and 952,096.78

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Solution

The third proportional to 434,028.38 and 952,096.78 is: 2,088,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,028.38 : 952,096.78 = 952,096.78 : x
  2. Step 2: Convert to fraction form
    434,028.38/952,096.78 = 952,096.78/x
  3. Step 3: Cross multiply
    434,028.38x = 952,096.78 × 952,096.78
  4. Step 4: Simplify right side
    434,028.38x = 906,488,280,866.61
  5. Step 5: Solve for x
    x = 906,488,280,866.61/434,028.38
  6. Step 6: Final answer
    x = 2,088,546.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.