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Finding the Third Proportional to 228,424 and 363,756

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Solution

The third proportional to 228,424 and 363,756 is: 579,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,424 : 363,756 = 363,756 : x
  2. Step 2: Convert to fraction form
    228,424/363,756 = 363,756/x
  3. Step 3: Cross multiply
    228,424x = 363,756 × 363,756
  4. Step 4: Simplify right side
    228,424x = 132,318,427,536
  5. Step 5: Solve for x
    x = 132,318,427,536/228,424
  6. Step 6: Final answer
    x = 579,266.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.