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Finding the Third Proportional to 356.44 and 476.78

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Solution

The third proportional to 356.44 and 476.78 is: 637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.44 : 476.78 = 476.78 : x
  2. Step 2: Convert to fraction form
    356.44/476.78 = 476.78/x
  3. Step 3: Cross multiply
    356.44x = 476.78 × 476.78
  4. Step 4: Simplify right side
    356.44x = 227,323.62
  5. Step 5: Solve for x
    x = 227,323.62/356.44
  6. Step 6: Final answer
    x = 637.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.