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Finding the Third Proportional to 584.24 and 1,270.53

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Solution

The third proportional to 584.24 and 1,270.53 is: 2,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.24 : 1,270.53 = 1,270.53 : x
  2. Step 2: Convert to fraction form
    584.24/1,270.53 = 1,270.53/x
  3. Step 3: Cross multiply
    584.24x = 1,270.53 × 1,270.53
  4. Step 4: Simplify right side
    584.24x = 1,614,244.69
  5. Step 5: Solve for x
    x = 1,614,244.69/584.24
  6. Step 6: Final answer
    x = 2,762.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.