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Finding the Third Proportional to 332,594 and 729,569

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Solution

The third proportional to 332,594 and 729,569 is: 1,600,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,594 : 729,569 = 729,569 : x
  2. Step 2: Convert to fraction form
    332,594/729,569 = 729,569/x
  3. Step 3: Cross multiply
    332,594x = 729,569 × 729,569
  4. Step 4: Simplify right side
    332,594x = 532,270,925,761
  5. Step 5: Solve for x
    x = 532,270,925,761/332,594
  6. Step 6: Final answer
    x = 1,600,362.38

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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.