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Finding the Third Proportional to 482.63 and 726.26

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Solution

The third proportional to 482.63 and 726.26 is: 1,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.63 : 726.26 = 726.26 : x
  2. Step 2: Convert to fraction form
    482.63/726.26 = 726.26/x
  3. Step 3: Cross multiply
    482.63x = 726.26 × 726.26
  4. Step 4: Simplify right side
    482.63x = 527,450.41
  5. Step 5: Solve for x
    x = 527,450.41/482.63
  6. Step 6: Final answer
    x = 1,092.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.