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Finding the Third Proportional to 425,101.50 and 898,188.75

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Solution

The third proportional to 425,101.50 and 898,188.75 is: 1,897,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,101.50 : 898,188.75 = 898,188.75 : x
  2. Step 2: Convert to fraction form
    425,101.50/898,188.75 = 898,188.75/x
  3. Step 3: Cross multiply
    425,101.50x = 898,188.75 × 898,188.75
  4. Step 4: Simplify right side
    425,101.50x = 806,743,030,626.56
  5. Step 5: Solve for x
    x = 806,743,030,626.56/425,101.50
  6. Step 6: Final answer
    x = 1,897,765.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.