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Finding the Third Proportional to 797.72 and 1,173.47

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Solution

The third proportional to 797.72 and 1,173.47 is: 1,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.72 : 1,173.47 = 1,173.47 : x
  2. Step 2: Convert to fraction form
    797.72/1,173.47 = 1,173.47/x
  3. Step 3: Cross multiply
    797.72x = 1,173.47 × 1,173.47
  4. Step 4: Simplify right side
    797.72x = 1,377,028.91
  5. Step 5: Solve for x
    x = 1,377,028.91/797.72
  6. Step 6: Final answer
    x = 1,726.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.