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Finding the Third Proportional to 822.19 and 1,241.81

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Solution

The third proportional to 822.19 and 1,241.81 is: 1,875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.19 : 1,241.81 = 1,241.81 : x
  2. Step 2: Convert to fraction form
    822.19/1,241.81 = 1,241.81/x
  3. Step 3: Cross multiply
    822.19x = 1,241.81 × 1,241.81
  4. Step 4: Simplify right side
    822.19x = 1,542,098.29
  5. Step 5: Solve for x
    x = 1,542,098.29/822.19
  6. Step 6: Final answer
    x = 1,875.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.