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Finding the Third Proportional to 312.94 and 476.81

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Solution

The third proportional to 312.94 and 476.81 is: 726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.94 : 476.81 = 476.81 : x
  2. Step 2: Convert to fraction form
    312.94/476.81 = 476.81/x
  3. Step 3: Cross multiply
    312.94x = 476.81 × 476.81
  4. Step 4: Simplify right side
    312.94x = 227,350.16
  5. Step 5: Solve for x
    x = 227,350.16/312.94
  6. Step 6: Final answer
    x = 726.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.