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Finding the Third Proportional to 222,642 and 493,299

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Solution

The third proportional to 222,642 and 493,299 is: 1,092,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,642 : 493,299 = 493,299 : x
  2. Step 2: Convert to fraction form
    222,642/493,299 = 493,299/x
  3. Step 3: Cross multiply
    222,642x = 493,299 × 493,299
  4. Step 4: Simplify right side
    222,642x = 243,343,903,401
  5. Step 5: Solve for x
    x = 243,343,903,401/222,642
  6. Step 6: Final answer
    x = 1,092,982.92

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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.