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Finding the Third Proportional to 797.06 and 1,231.31

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Solution

The third proportional to 797.06 and 1,231.31 is: 1,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.06 : 1,231.31 = 1,231.31 : x
  2. Step 2: Convert to fraction form
    797.06/1,231.31 = 1,231.31/x
  3. Step 3: Cross multiply
    797.06x = 1,231.31 × 1,231.31
  4. Step 4: Simplify right side
    797.06x = 1,516,130.47
  5. Step 5: Solve for x
    x = 1,516,130.47/797.06
  6. Step 6: Final answer
    x = 1,902.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.