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Finding the Third Proportional to 493.08 and 758.91

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Solution

The third proportional to 493.08 and 758.91 is: 1,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.08 : 758.91 = 758.91 : x
  2. Step 2: Convert to fraction form
    493.08/758.91 = 758.91/x
  3. Step 3: Cross multiply
    493.08x = 758.91 × 758.91
  4. Step 4: Simplify right side
    493.08x = 575,938.70
  5. Step 5: Solve for x
    x = 575,938.70/493.08
  6. Step 6: Final answer
    x = 1,168.05

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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.