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Finding the Third Proportional to 307.69 and 460.41

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Solution

The third proportional to 307.69 and 460.41 is: 688.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.69 : 460.41 = 460.41 : x
  2. Step 2: Convert to fraction form
    307.69/460.41 = 460.41/x
  3. Step 3: Cross multiply
    307.69x = 460.41 × 460.41
  4. Step 4: Simplify right side
    307.69x = 211,973.92
  5. Step 5: Solve for x
    x = 211,973.92/307.69
  6. Step 6: Final answer
    x = 688.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.