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Finding the Third Proportional to 497.25 and 738.75

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Solution

The third proportional to 497.25 and 738.75 is: 1,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.25 : 738.75 = 738.75 : x
  2. Step 2: Convert to fraction form
    497.25/738.75 = 738.75/x
  3. Step 3: Cross multiply
    497.25x = 738.75 × 738.75
  4. Step 4: Simplify right side
    497.25x = 545,751.56
  5. Step 5: Solve for x
    x = 545,751.56/497.25
  6. Step 6: Final answer
    x = 1,097.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.