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Finding the Third Proportional to 569.81 and 878.81

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Solution

The third proportional to 569.81 and 878.81 is: 1,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.81 : 878.81 = 878.81 : x
  2. Step 2: Convert to fraction form
    569.81/878.81 = 878.81/x
  3. Step 3: Cross multiply
    569.81x = 878.81 × 878.81
  4. Step 4: Simplify right side
    569.81x = 772,311.41
  5. Step 5: Solve for x
    x = 772,311.41/569.81
  6. Step 6: Final answer
    x = 1,355.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.