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Finding the Third Proportional to 333.06 and 726.88

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Solution

The third proportional to 333.06 and 726.88 is: 1,586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.06 : 726.88 = 726.88 : x
  2. Step 2: Convert to fraction form
    333.06/726.88 = 726.88/x
  3. Step 3: Cross multiply
    333.06x = 726.88 × 726.88
  4. Step 4: Simplify right side
    333.06x = 528,347.27
  5. Step 5: Solve for x
    x = 528,347.27/333.06
  6. Step 6: Final answer
    x = 1,586.33

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Why These Related Problems?

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