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Finding the Third Proportional to 810.84 and 1,199.11

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Solution

The third proportional to 810.84 and 1,199.11 is: 1,773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.84 : 1,199.11 = 1,199.11 : x
  2. Step 2: Convert to fraction form
    810.84/1,199.11 = 1,199.11/x
  3. Step 3: Cross multiply
    810.84x = 1,199.11 × 1,199.11
  4. Step 4: Simplify right side
    810.84x = 1,437,863.29
  5. Step 5: Solve for x
    x = 1,437,863.29/810.84
  6. Step 6: Final answer
    x = 1,773.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.