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Finding the Third Proportional to 536.81 and 1,173.19

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Solution

The third proportional to 536.81 and 1,173.19 is: 2,563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.81 : 1,173.19 = 1,173.19 : x
  2. Step 2: Convert to fraction form
    536.81/1,173.19 = 1,173.19/x
  3. Step 3: Cross multiply
    536.81x = 1,173.19 × 1,173.19
  4. Step 4: Simplify right side
    536.81x = 1,376,368.91
  5. Step 5: Solve for x
    x = 1,376,368.91/536.81
  6. Step 6: Final answer
    x = 2,563.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.