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Finding the Third Proportional to 466.22 and 720.93

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Solution

The third proportional to 466.22 and 720.93 is: 1,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.22 : 720.93 = 720.93 : x
  2. Step 2: Convert to fraction form
    466.22/720.93 = 720.93/x
  3. Step 3: Cross multiply
    466.22x = 720.93 × 720.93
  4. Step 4: Simplify right side
    466.22x = 519,742.43
  5. Step 5: Solve for x
    x = 519,742.43/466.22
  6. Step 6: Final answer
    x = 1,114.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.