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Finding the Third Proportional to 784 and 872

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Solution

The third proportional to 784 and 872 is: 969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    784 : 872 = 872 : x
  2. Step 2: Convert to fraction form
    784/872 = 872/x
  3. Step 3: Cross multiply
    784x = 872 × 872
  4. Step 4: Simplify right side
    784x = 760,384
  5. Step 5: Solve for x
    x = 760,384/784
  6. Step 6: Final answer
    x = 969.88

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.