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Finding the Third Proportional to 384,405.75 and 898,138.13

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Solution

The third proportional to 384,405.75 and 898,138.13 is: 2,098,439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,405.75 : 898,138.13 = 898,138.13 : x
  2. Step 2: Convert to fraction form
    384,405.75/898,138.13 = 898,138.13/x
  3. Step 3: Cross multiply
    384,405.75x = 898,138.13 × 898,138.13
  4. Step 4: Simplify right side
    384,405.75x = 806,652,091,578.52
  5. Step 5: Solve for x
    x = 806,652,091,578.52/384,405.75
  6. Step 6: Final answer
    x = 2,098,439.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.