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Finding the Third Proportional to 497.71 and 738.65

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Solution

The third proportional to 497.71 and 738.65 is: 1,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.71 : 738.65 = 738.65 : x
  2. Step 2: Convert to fraction form
    497.71/738.65 = 738.65/x
  3. Step 3: Cross multiply
    497.71x = 738.65 × 738.65
  4. Step 4: Simplify right side
    497.71x = 545,604.40
  5. Step 5: Solve for x
    x = 545,604.40/497.71
  6. Step 6: Final answer
    x = 1,096.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.