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Finding the Third Proportional to 467.65 and 701.47

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Solution

The third proportional to 467.65 and 701.47 is: 1,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.65 : 701.47 = 701.47 : x
  2. Step 2: Convert to fraction form
    467.65/701.47 = 701.47/x
  3. Step 3: Cross multiply
    467.65x = 701.47 × 701.47
  4. Step 4: Simplify right side
    467.65x = 492,063.89
  5. Step 5: Solve for x
    x = 492,063.89/467.65
  6. Step 6: Final answer
    x = 1,052.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.