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Finding the Third Proportional to 467.63 and 716.44

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Solution

The third proportional to 467.63 and 716.44 is: 1,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.63 : 716.44 = 716.44 : x
  2. Step 2: Convert to fraction form
    467.63/716.44 = 716.44/x
  3. Step 3: Cross multiply
    467.63x = 716.44 × 716.44
  4. Step 4: Simplify right side
    467.63x = 513,282.69
  5. Step 5: Solve for x
    x = 513,282.69/467.63
  6. Step 6: Final answer
    x = 1,097.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.