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Finding the Third Proportional to 598,608 and 897,884

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Solution

The third proportional to 598,608 and 897,884 is: 1,346,784.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,608 : 897,884 = 897,884 : x
  2. Step 2: Convert to fraction form
    598,608/897,884 = 897,884/x
  3. Step 3: Cross multiply
    598,608x = 897,884 × 897,884
  4. Step 4: Simplify right side
    598,608x = 806,195,677,456
  5. Step 5: Solve for x
    x = 806,195,677,456/598,608
  6. Step 6: Final answer
    x = 1,346,784.00

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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.