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Finding the Third Proportional to 320.91 and 484.59

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Solution

The third proportional to 320.91 and 484.59 is: 731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.91 : 484.59 = 484.59 : x
  2. Step 2: Convert to fraction form
    320.91/484.59 = 484.59/x
  3. Step 3: Cross multiply
    320.91x = 484.59 × 484.59
  4. Step 4: Simplify right side
    320.91x = 234,831.10
  5. Step 5: Solve for x
    x = 234,831.10/320.91
  6. Step 6: Final answer
    x = 731.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.