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Finding the Third Proportional to 605,991 and 897,273

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Solution

The third proportional to 605,991 and 897,273 is: 1,328,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,991 : 897,273 = 897,273 : x
  2. Step 2: Convert to fraction form
    605,991/897,273 = 897,273/x
  3. Step 3: Cross multiply
    605,991x = 897,273 × 897,273
  4. Step 4: Simplify right side
    605,991x = 805,098,836,529
  5. Step 5: Solve for x
    x = 805,098,836,529/605,991
  6. Step 6: Final answer
    x = 1,328,565.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.