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Finding the Third Proportional to 497.25 and 778.50

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Solution

The third proportional to 497.25 and 778.50 is: 1,218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.25 : 778.50 = 778.50 : x
  2. Step 2: Convert to fraction form
    497.25/778.50 = 778.50/x
  3. Step 3: Cross multiply
    497.25x = 778.50 × 778.50
  4. Step 4: Simplify right side
    497.25x = 606,062.25
  5. Step 5: Solve for x
    x = 606,062.25/497.25
  6. Step 6: Final answer
    x = 1,218.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.