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Finding the Third Proportional to 598,920 and 897,456

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Solution

The third proportional to 598,920 and 897,456 is: 1,344,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,920 : 897,456 = 897,456 : x
  2. Step 2: Convert to fraction form
    598,920/897,456 = 897,456/x
  3. Step 3: Cross multiply
    598,920x = 897,456 × 897,456
  4. Step 4: Simplify right side
    598,920x = 805,427,271,936
  5. Step 5: Solve for x
    x = 805,427,271,936/598,920
  6. Step 6: Final answer
    x = 1,344,799.43

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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.