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Finding the Third Proportional to 784.97 and 1,187.53

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Solution

The third proportional to 784.97 and 1,187.53 is: 1,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.97 : 1,187.53 = 1,187.53 : x
  2. Step 2: Convert to fraction form
    784.97/1,187.53 = 1,187.53/x
  3. Step 3: Cross multiply
    784.97x = 1,187.53 × 1,187.53
  4. Step 4: Simplify right side
    784.97x = 1,410,230.47
  5. Step 5: Solve for x
    x = 1,410,230.47/784.97
  6. Step 6: Final answer
    x = 1,796.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.