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Finding the Third Proportional to 332,589 and 729,558

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Solution

The third proportional to 332,589 and 729,558 is: 1,600,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,589 : 729,558 = 729,558 : x
  2. Step 2: Convert to fraction form
    332,589/729,558 = 729,558/x
  3. Step 3: Cross multiply
    332,589x = 729,558 × 729,558
  4. Step 4: Simplify right side
    332,589x = 532,254,875,364
  5. Step 5: Solve for x
    x = 532,254,875,364/332,589
  6. Step 6: Final answer
    x = 1,600,338.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.