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Finding the Third Proportional to 285.47 and 611.44

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Solution

The third proportional to 285.47 and 611.44 is: 1,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.47 : 611.44 = 611.44 : x
  2. Step 2: Convert to fraction form
    285.47/611.44 = 611.44/x
  3. Step 3: Cross multiply
    285.47x = 611.44 × 611.44
  4. Step 4: Simplify right side
    285.47x = 373,855.82
  5. Step 5: Solve for x
    x = 373,855.82/285.47
  6. Step 6: Final answer
    x = 1,309.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.