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Finding the Third Proportional to 332,653.50 and 729,067.50

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Solution

The third proportional to 332,653.50 and 729,067.50 is: 1,597,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,653.50 : 729,067.50 = 729,067.50 : x
  2. Step 2: Convert to fraction form
    332,653.50/729,067.50 = 729,067.50/x
  3. Step 3: Cross multiply
    332,653.50x = 729,067.50 × 729,067.50
  4. Step 4: Simplify right side
    332,653.50x = 531,539,419,556.25
  5. Step 5: Solve for x
    x = 531,539,419,556.25/332,653.50
  6. Step 6: Final answer
    x = 1,597,877.13

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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.