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Finding the Third Proportional to 465.54 and 741.02

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Solution

The third proportional to 465.54 and 741.02 is: 1,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.54 : 741.02 = 741.02 : x
  2. Step 2: Convert to fraction form
    465.54/741.02 = 741.02/x
  3. Step 3: Cross multiply
    465.54x = 741.02 × 741.02
  4. Step 4: Simplify right side
    465.54x = 549,115.73
  5. Step 5: Solve for x
    x = 549,115.73/465.54
  6. Step 6: Final answer
    x = 1,179.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.