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Finding the Third Proportional to 813.38 and 1,808.72

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Solution

The third proportional to 813.38 and 1,808.72 is: 4,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.38 : 1,808.72 = 1,808.72 : x
  2. Step 2: Convert to fraction form
    813.38/1,808.72 = 1,808.72/x
  3. Step 3: Cross multiply
    813.38x = 1,808.72 × 1,808.72
  4. Step 4: Simplify right side
    813.38x = 3,271,463.52
  5. Step 5: Solve for x
    x = 3,271,463.52/813.38
  6. Step 6: Final answer
    x = 4,022.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.