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Finding the Third Proportional to 307.88 and 476.63

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Solution

The third proportional to 307.88 and 476.63 is: 737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.88 : 476.63 = 476.63 : x
  2. Step 2: Convert to fraction form
    307.88/476.63 = 476.63/x
  3. Step 3: Cross multiply
    307.88x = 476.63 × 476.63
  4. Step 4: Simplify right side
    307.88x = 227,171.39
  5. Step 5: Solve for x
    x = 227,171.39/307.88
  6. Step 6: Final answer
    x = 737.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.