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Finding the Third Proportional to 237,541 and 494,738

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Solution

The third proportional to 237,541 and 494,738 is: 1,030,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,541 : 494,738 = 494,738 : x
  2. Step 2: Convert to fraction form
    237,541/494,738 = 494,738/x
  3. Step 3: Cross multiply
    237,541x = 494,738 × 494,738
  4. Step 4: Simplify right side
    237,541x = 244,765,688,644
  5. Step 5: Solve for x
    x = 244,765,688,644/237,541
  6. Step 6: Final answer
    x = 1,030,414.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.