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Finding the Third Proportional to 419.98 and 496.76

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Solution

The third proportional to 419.98 and 496.76 is: 587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.98 : 496.76 = 496.76 : x
  2. Step 2: Convert to fraction form
    419.98/496.76 = 496.76/x
  3. Step 3: Cross multiply
    419.98x = 496.76 × 496.76
  4. Step 4: Simplify right side
    419.98x = 246,768.32
  5. Step 5: Solve for x
    x = 246,768.32/419.98
  6. Step 6: Final answer
    x = 587.58

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Why These Related Problems?

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