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Finding the Third Proportional to 332,572.75 and 729,525.50

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Solution

The third proportional to 332,572.75 and 729,525.50 is: 1,600,273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,572.75 : 729,525.50 = 729,525.50 : x
  2. Step 2: Convert to fraction form
    332,572.75/729,525.50 = 729,525.50/x
  3. Step 3: Cross multiply
    332,572.75x = 729,525.50 × 729,525.50
  4. Step 4: Simplify right side
    332,572.75x = 532,207,455,150.25
  5. Step 5: Solve for x
    x = 532,207,455,150.25/332,572.75
  6. Step 6: Final answer
    x = 1,600,273.79

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