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Finding the Third Proportional to 784.69 and 879.19

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Solution

The third proportional to 784.69 and 879.19 is: 985.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.69 : 879.19 = 879.19 : x
  2. Step 2: Convert to fraction form
    784.69/879.19 = 879.19/x
  3. Step 3: Cross multiply
    784.69x = 879.19 × 879.19
  4. Step 4: Simplify right side
    784.69x = 772,970.66
  5. Step 5: Solve for x
    x = 772,970.66/784.69
  6. Step 6: Final answer
    x = 985.07

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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.