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Finding the Third Proportional to 384,454.13 and 898,258.50

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Solution

The third proportional to 384,454.13 and 898,258.50 is: 2,098,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,454.13 : 898,258.50 = 898,258.50 : x
  2. Step 2: Convert to fraction form
    384,454.13/898,258.50 = 898,258.50/x
  3. Step 3: Cross multiply
    384,454.13x = 898,258.50 × 898,258.50
  4. Step 4: Simplify right side
    384,454.13x = 806,868,332,822.25
  5. Step 5: Solve for x
    x = 806,868,332,822.25/384,454.13
  6. Step 6: Final answer
    x = 2,098,737.61

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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.