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Finding the Third Proportional to 466.88 and 723.02

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Solution

The third proportional to 466.88 and 723.02 is: 1,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.88 : 723.02 = 723.02 : x
  2. Step 2: Convert to fraction form
    466.88/723.02 = 723.02/x
  3. Step 3: Cross multiply
    466.88x = 723.02 × 723.02
  4. Step 4: Simplify right side
    466.88x = 522,762.89
  5. Step 5: Solve for x
    x = 522,762.89/466.88
  6. Step 6: Final answer
    x = 1,119.71

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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.