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Finding the Third Proportional to 491.91 and 738.28

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Solution

The third proportional to 491.91 and 738.28 is: 1,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.91 : 738.28 = 738.28 : x
  2. Step 2: Convert to fraction form
    491.91/738.28 = 738.28/x
  3. Step 3: Cross multiply
    491.91x = 738.28 × 738.28
  4. Step 4: Simplify right side
    491.91x = 545,059.20
  5. Step 5: Solve for x
    x = 545,059.20/491.91
  6. Step 6: Final answer
    x = 1,108.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.