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Finding the Third Proportional to 784.90 and 1,187.47

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Solution

The third proportional to 784.90 and 1,187.47 is: 1,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.90 : 1,187.47 = 1,187.47 : x
  2. Step 2: Convert to fraction form
    784.90/1,187.47 = 1,187.47/x
  3. Step 3: Cross multiply
    784.90x = 1,187.47 × 1,187.47
  4. Step 4: Simplify right side
    784.90x = 1,410,091.31
  5. Step 5: Solve for x
    x = 1,410,091.31/784.90
  6. Step 6: Final answer
    x = 1,796.53

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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.