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Finding the Third Proportional to 494.81 and 1,068.09

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Solution

The third proportional to 494.81 and 1,068.09 is: 2,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.81 : 1,068.09 = 1,068.09 : x
  2. Step 2: Convert to fraction form
    494.81/1,068.09 = 1,068.09/x
  3. Step 3: Cross multiply
    494.81x = 1,068.09 × 1,068.09
  4. Step 4: Simplify right side
    494.81x = 1,140,824.26
  5. Step 5: Solve for x
    x = 1,140,824.26/494.81
  6. Step 6: Final answer
    x = 2,305.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.