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Finding the Third Proportional to 497.60 and 767.32

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Solution

The third proportional to 497.60 and 767.32 is: 1,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.60 : 767.32 = 767.32 : x
  2. Step 2: Convert to fraction form
    497.60/767.32 = 767.32/x
  3. Step 3: Cross multiply
    497.60x = 767.32 × 767.32
  4. Step 4: Simplify right side
    497.60x = 588,780.46
  5. Step 5: Solve for x
    x = 588,780.46/497.60
  6. Step 6: Final answer
    x = 1,183.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.