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Finding the Third Proportional to 329,033.25 and 717,561

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Solution

The third proportional to 329,033.25 and 717,561 is: 1,564,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,033.25 : 717,561 = 717,561 : x
  2. Step 2: Convert to fraction form
    329,033.25/717,561 = 717,561/x
  3. Step 3: Cross multiply
    329,033.25x = 717,561 × 717,561
  4. Step 4: Simplify right side
    329,033.25x = 514,893,788,721
  5. Step 5: Solve for x
    x = 514,893,788,721/329,033.25
  6. Step 6: Final answer
    x = 1,564,868.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.