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Finding the Third Proportional to 410 and 495.75

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Solution

The third proportional to 410 and 495.75 is: 599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410 : 495.75 = 495.75 : x
  2. Step 2: Convert to fraction form
    410/495.75 = 495.75/x
  3. Step 3: Cross multiply
    410x = 495.75 × 495.75
  4. Step 4: Simplify right side
    410x = 245,768.06
  5. Step 5: Solve for x
    x = 245,768.06/410
  6. Step 6: Final answer
    x = 599.43

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.