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Finding the Third Proportional to 222,615 and 493,248

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Solution

The third proportional to 222,615 and 493,248 is: 1,092,889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,615 : 493,248 = 493,248 : x
  2. Step 2: Convert to fraction form
    222,615/493,248 = 493,248/x
  3. Step 3: Cross multiply
    222,615x = 493,248 × 493,248
  4. Step 4: Simplify right side
    222,615x = 243,293,589,504
  5. Step 5: Solve for x
    x = 243,293,589,504/222,615
  6. Step 6: Final answer
    x = 1,092,889.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.