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Finding the Third Proportional to 526.82 and 1,136.21

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Solution

The third proportional to 526.82 and 1,136.21 is: 2,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.82 : 1,136.21 = 1,136.21 : x
  2. Step 2: Convert to fraction form
    526.82/1,136.21 = 1,136.21/x
  3. Step 3: Cross multiply
    526.82x = 1,136.21 × 1,136.21
  4. Step 4: Simplify right side
    526.82x = 1,290,984.17
  5. Step 5: Solve for x
    x = 1,290,984.17/526.82
  6. Step 6: Final answer
    x = 2,450.54

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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.