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Finding the Third Proportional to 598,635.50 and 897,077

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Solution

The third proportional to 598,635.50 and 897,077 is: 1,344,302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,635.50 : 897,077 = 897,077 : x
  2. Step 2: Convert to fraction form
    598,635.50/897,077 = 897,077/x
  3. Step 3: Cross multiply
    598,635.50x = 897,077 × 897,077
  4. Step 4: Simplify right side
    598,635.50x = 804,747,143,929
  5. Step 5: Solve for x
    x = 804,747,143,929/598,635.50
  6. Step 6: Final answer
    x = 1,344,302.41

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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.