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Finding the Third Proportional to 282,814 and 395,601

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Solution

The third proportional to 282,814 and 395,601 is: 553,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,814 : 395,601 = 395,601 : x
  2. Step 2: Convert to fraction form
    282,814/395,601 = 395,601/x
  3. Step 3: Cross multiply
    282,814x = 395,601 × 395,601
  4. Step 4: Simplify right side
    282,814x = 156,500,151,201
  5. Step 5: Solve for x
    x = 156,500,151,201/282,814
  6. Step 6: Final answer
    x = 553,367.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.