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Finding the Third Proportional to 332,591 and 729,559

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Solution

The third proportional to 332,591 and 729,559 is: 1,600,332.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,591 : 729,559 = 729,559 : x
  2. Step 2: Convert to fraction form
    332,591/729,559 = 729,559/x
  3. Step 3: Cross multiply
    332,591x = 729,559 × 729,559
  4. Step 4: Simplify right side
    332,591x = 532,256,334,481
  5. Step 5: Solve for x
    x = 532,256,334,481/332,591
  6. Step 6: Final answer
    x = 1,600,332.94

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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.