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Finding the Third Proportional to 213,328 and 493,868

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Solution

The third proportional to 213,328 and 493,868 is: 1,143,336.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,328 : 493,868 = 493,868 : x
  2. Step 2: Convert to fraction form
    213,328/493,868 = 493,868/x
  3. Step 3: Cross multiply
    213,328x = 493,868 × 493,868
  4. Step 4: Simplify right side
    213,328x = 243,905,601,424
  5. Step 5: Solve for x
    x = 243,905,601,424/213,328
  6. Step 6: Final answer
    x = 1,143,336.09

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.