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Finding the Third Proportional to 332,578 and 729,535

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Solution

The third proportional to 332,578 and 729,535 is: 1,600,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,578 : 729,535 = 729,535 : x
  2. Step 2: Convert to fraction form
    332,578/729,535 = 729,535/x
  3. Step 3: Cross multiply
    332,578x = 729,535 × 729,535
  4. Step 4: Simplify right side
    332,578x = 532,221,316,225
  5. Step 5: Solve for x
    x = 532,221,316,225/332,578
  6. Step 6: Final answer
    x = 1,600,290.21

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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.