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Finding the Third Proportional to 397.83 and 534.52

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Solution

The third proportional to 397.83 and 534.52 is: 718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.83 : 534.52 = 534.52 : x
  2. Step 2: Convert to fraction form
    397.83/534.52 = 534.52/x
  3. Step 3: Cross multiply
    397.83x = 534.52 × 534.52
  4. Step 4: Simplify right side
    397.83x = 285,706.95
  5. Step 5: Solve for x
    x = 285,706.95/397.83
  6. Step 6: Final answer
    x = 718.17

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