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Finding the Third Proportional to 467.02 and 746.09

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Solution

The third proportional to 467.02 and 746.09 is: 1,191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.02 : 746.09 = 746.09 : x
  2. Step 2: Convert to fraction form
    467.02/746.09 = 746.09/x
  3. Step 3: Cross multiply
    467.02x = 746.09 × 746.09
  4. Step 4: Simplify right side
    467.02x = 556,644.23
  5. Step 5: Solve for x
    x = 556,644.23/467.02
  6. Step 6: Final answer
    x = 1,191.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.