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Finding the Third Proportional to 497.06 and 758.91

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Solution

The third proportional to 497.06 and 758.91 is: 1,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.06 : 758.91 = 758.91 : x
  2. Step 2: Convert to fraction form
    497.06/758.91 = 758.91/x
  3. Step 3: Cross multiply
    497.06x = 758.91 × 758.91
  4. Step 4: Simplify right side
    497.06x = 575,938.70
  5. Step 5: Solve for x
    x = 575,938.70/497.06
  6. Step 6: Final answer
    x = 1,158.68

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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.