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Finding the Third Proportional to 598,300 and 897,866

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Solution

The third proportional to 598,300 and 897,866 is: 1,347,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,300 : 897,866 = 897,866 : x
  2. Step 2: Convert to fraction form
    598,300/897,866 = 897,866/x
  3. Step 3: Cross multiply
    598,300x = 897,866 × 897,866
  4. Step 4: Simplify right side
    598,300x = 806,163,353,956
  5. Step 5: Solve for x
    x = 806,163,353,956/598,300
  6. Step 6: Final answer
    x = 1,347,423.29

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Why These Related Problems?

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