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Finding the Third Proportional to 821.81 and 1,177.03

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Solution

The third proportional to 821.81 and 1,177.03 is: 1,685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.81 : 1,177.03 = 1,177.03 : x
  2. Step 2: Convert to fraction form
    821.81/1,177.03 = 1,177.03/x
  3. Step 3: Cross multiply
    821.81x = 1,177.03 × 1,177.03
  4. Step 4: Simplify right side
    821.81x = 1,385,402.56
  5. Step 5: Solve for x
    x = 1,385,402.56/821.81
  6. Step 6: Final answer
    x = 1,685.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.