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Finding the Third Proportional to 459.75 and 654.94

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Solution

The third proportional to 459.75 and 654.94 is: 932.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.75 : 654.94 = 654.94 : x
  2. Step 2: Convert to fraction form
    459.75/654.94 = 654.94/x
  3. Step 3: Cross multiply
    459.75x = 654.94 × 654.94
  4. Step 4: Simplify right side
    459.75x = 428,943.13
  5. Step 5: Solve for x
    x = 428,943.13/459.75
  6. Step 6: Final answer
    x = 932.99

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.