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Finding the Third Proportional to 332,565.75 and 729,510.75

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Solution

The third proportional to 332,565.75 and 729,510.75 is: 1,600,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,565.75 : 729,510.75 = 729,510.75 : x
  2. Step 2: Convert to fraction form
    332,565.75/729,510.75 = 729,510.75/x
  3. Step 3: Cross multiply
    332,565.75x = 729,510.75 × 729,510.75
  4. Step 4: Simplify right side
    332,565.75x = 532,185,934,365.56
  5. Step 5: Solve for x
    x = 532,185,934,365.56/332,565.75
  6. Step 6: Final answer
    x = 1,600,242.76

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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.