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Finding the Third Proportional to 784.69 and 1,241.91

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Solution

The third proportional to 784.69 and 1,241.91 is: 1,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.69 : 1,241.91 = 1,241.91 : x
  2. Step 2: Convert to fraction form
    784.69/1,241.91 = 1,241.91/x
  3. Step 3: Cross multiply
    784.69x = 1,241.91 × 1,241.91
  4. Step 4: Simplify right side
    784.69x = 1,542,331.13
  5. Step 5: Solve for x
    x = 1,542,331.13/784.69
  6. Step 6: Final answer
    x = 1,965.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.