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Finding the Third Proportional to 332,584.50 and 729,550.50

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Solution

The third proportional to 332,584.50 and 729,550.50 is: 1,600,326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,584.50 : 729,550.50 = 729,550.50 : x
  2. Step 2: Convert to fraction form
    332,584.50/729,550.50 = 729,550.50/x
  3. Step 3: Cross multiply
    332,584.50x = 729,550.50 × 729,550.50
  4. Step 4: Simplify right side
    332,584.50x = 532,243,932,050.25
  5. Step 5: Solve for x
    x = 532,243,932,050.25/332,584.50
  6. Step 6: Final answer
    x = 1,600,326.93

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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.