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Finding the Third Proportional to 222,518 and 493,082

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Solution

The third proportional to 222,518 and 493,082 is: 1,092,630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,518 : 493,082 = 493,082 : x
  2. Step 2: Convert to fraction form
    222,518/493,082 = 493,082/x
  3. Step 3: Cross multiply
    222,518x = 493,082 × 493,082
  4. Step 4: Simplify right side
    222,518x = 243,129,858,724
  5. Step 5: Solve for x
    x = 243,129,858,724/222,518
  6. Step 6: Final answer
    x = 1,092,630.07

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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.