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Finding the Third Proportional to 332,530.31 and 729,394.88

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Solution

The third proportional to 332,530.31 and 729,394.88 is: 1,599,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,530.31 : 729,394.88 = 729,394.88 : x
  2. Step 2: Convert to fraction form
    332,530.31/729,394.88 = 729,394.88/x
  3. Step 3: Cross multiply
    332,530.31x = 729,394.88 × 729,394.88
  4. Step 4: Simplify right side
    332,530.31x = 532,016,883,676.27
  5. Step 5: Solve for x
    x = 532,016,883,676.27/332,530.31
  6. Step 6: Final answer
    x = 1,599,904.92

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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.