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Finding the Third Proportional to 605,996 and 897,280

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Solution

The third proportional to 605,996 and 897,280 is: 1,328,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,996 : 897,280 = 897,280 : x
  2. Step 2: Convert to fraction form
    605,996/897,280 = 897,280/x
  3. Step 3: Cross multiply
    605,996x = 897,280 × 897,280
  4. Step 4: Simplify right side
    605,996x = 805,111,398,400
  5. Step 5: Solve for x
    x = 805,111,398,400/605,996
  6. Step 6: Final answer
    x = 1,328,575.43

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