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Finding the Third Proportional to 416.81 and 866.81

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Solution

The third proportional to 416.81 and 866.81 is: 1,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.81 : 866.81 = 866.81 : x
  2. Step 2: Convert to fraction form
    416.81/866.81 = 866.81/x
  3. Step 3: Cross multiply
    416.81x = 866.81 × 866.81
  4. Step 4: Simplify right side
    416.81x = 751,363.91
  5. Step 5: Solve for x
    x = 751,363.91/416.81
  6. Step 6: Final answer
    x = 1,802.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.