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Finding the Third Proportional to 595,240 and 898,227

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Solution

The third proportional to 595,240 and 898,227 is: 1,355,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,240 : 898,227 = 898,227 : x
  2. Step 2: Convert to fraction form
    595,240/898,227 = 898,227/x
  3. Step 3: Cross multiply
    595,240x = 898,227 × 898,227
  4. Step 4: Simplify right side
    595,240x = 806,811,743,529
  5. Step 5: Solve for x
    x = 806,811,743,529/595,240
  6. Step 6: Final answer
    x = 1,355,439.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.