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Finding the Third Proportional to 385.88 and 453.94

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Solution

The third proportional to 385.88 and 453.94 is: 534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.88 : 453.94 = 453.94 : x
  2. Step 2: Convert to fraction form
    385.88/453.94 = 453.94/x
  3. Step 3: Cross multiply
    385.88x = 453.94 × 453.94
  4. Step 4: Simplify right side
    385.88x = 206,059.25
  5. Step 5: Solve for x
    x = 206,059.25/385.88
  6. Step 6: Final answer
    x = 534.01

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.