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Finding the Third Proportional to 467.07 and 732.77

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Solution

The third proportional to 467.07 and 732.77 is: 1,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.07 : 732.77 = 732.77 : x
  2. Step 2: Convert to fraction form
    467.07/732.77 = 732.77/x
  3. Step 3: Cross multiply
    467.07x = 732.77 × 732.77
  4. Step 4: Simplify right side
    467.07x = 536,952.62
  5. Step 5: Solve for x
    x = 536,952.62/467.07
  6. Step 6: Final answer
    x = 1,149.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.