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Finding the Third Proportional to 242,118 and 494,073

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Solution

The third proportional to 242,118 and 494,073 is: 1,008,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,118 : 494,073 = 494,073 : x
  2. Step 2: Convert to fraction form
    242,118/494,073 = 494,073/x
  3. Step 3: Cross multiply
    242,118x = 494,073 × 494,073
  4. Step 4: Simplify right side
    242,118x = 244,108,129,329
  5. Step 5: Solve for x
    x = 244,108,129,329/242,118
  6. Step 6: Final answer
    x = 1,008,219.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.