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Finding the Third Proportional to 482.88 and 723.13

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Solution

The third proportional to 482.88 and 723.13 is: 1,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.88 : 723.13 = 723.13 : x
  2. Step 2: Convert to fraction form
    482.88/723.13 = 723.13/x
  3. Step 3: Cross multiply
    482.88x = 723.13 × 723.13
  4. Step 4: Simplify right side
    482.88x = 522,909.77
  5. Step 5: Solve for x
    x = 522,909.77/482.88
  6. Step 6: Final answer
    x = 1,082.91

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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.