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Finding the Third Proportional to 332,822.50 and 729,001

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Solution

The third proportional to 332,822.50 and 729,001 is: 1,596,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,822.50 : 729,001 = 729,001 : x
  2. Step 2: Convert to fraction form
    332,822.50/729,001 = 729,001/x
  3. Step 3: Cross multiply
    332,822.50x = 729,001 × 729,001
  4. Step 4: Simplify right side
    332,822.50x = 531,442,458,001
  5. Step 5: Solve for x
    x = 531,442,458,001/332,822.50
  6. Step 6: Final answer
    x = 1,596,774.43

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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.