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Finding the Third Proportional to 541,721.25 and 724,734

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Solution

The third proportional to 541,721.25 and 724,734 is: 969,574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,721.25 : 724,734 = 724,734 : x
  2. Step 2: Convert to fraction form
    541,721.25/724,734 = 724,734/x
  3. Step 3: Cross multiply
    541,721.25x = 724,734 × 724,734
  4. Step 4: Simplify right side
    541,721.25x = 525,239,370,756
  5. Step 5: Solve for x
    x = 525,239,370,756/541,721.25
  6. Step 6: Final answer
    x = 969,574.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.