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Finding the Third Proportional to 598,638 and 897,080

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Solution

The third proportional to 598,638 and 897,080 is: 1,344,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,638 : 897,080 = 897,080 : x
  2. Step 2: Convert to fraction form
    598,638/897,080 = 897,080/x
  3. Step 3: Cross multiply
    598,638x = 897,080 × 897,080
  4. Step 4: Simplify right side
    598,638x = 804,752,526,400
  5. Step 5: Solve for x
    x = 804,752,526,400/598,638
  6. Step 6: Final answer
    x = 1,344,305.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.