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Finding the Third Proportional to 425,099.25 and 898,184.25

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Solution

The third proportional to 425,099.25 and 898,184.25 is: 1,897,756.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,099.25 : 898,184.25 = 898,184.25 : x
  2. Step 2: Convert to fraction form
    425,099.25/898,184.25 = 898,184.25/x
  3. Step 3: Cross multiply
    425,099.25x = 898,184.25 × 898,184.25
  4. Step 4: Simplify right side
    425,099.25x = 806,734,946,948.06
  5. Step 5: Solve for x
    x = 806,734,946,948.06/425,099.25
  6. Step 6: Final answer
    x = 1,897,756.69

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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.