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Finding the Third Proportional to 307.06 and 532.44

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Solution

The third proportional to 307.06 and 532.44 is: 923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.06 : 532.44 = 532.44 : x
  2. Step 2: Convert to fraction form
    307.06/532.44 = 532.44/x
  3. Step 3: Cross multiply
    307.06x = 532.44 × 532.44
  4. Step 4: Simplify right side
    307.06x = 283,489.69
  5. Step 5: Solve for x
    x = 283,489.69/307.06
  6. Step 6: Final answer
    x = 923.23

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.