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Finding the Third Proportional to 436.31 and 654.56

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Solution

The third proportional to 436.31 and 654.56 is: 981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.31 : 654.56 = 654.56 : x
  2. Step 2: Convert to fraction form
    436.31/654.56 = 654.56/x
  3. Step 3: Cross multiply
    436.31x = 654.56 × 654.56
  4. Step 4: Simplify right side
    436.31x = 428,452.07
  5. Step 5: Solve for x
    x = 428,452.07/436.31
  6. Step 6: Final answer
    x = 981.98

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