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Finding the Third Proportional to 235,098 and 494,388

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Solution

The third proportional to 235,098 and 494,388 is: 1,039,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,098 : 494,388 = 494,388 : x
  2. Step 2: Convert to fraction form
    235,098/494,388 = 494,388/x
  3. Step 3: Cross multiply
    235,098x = 494,388 × 494,388
  4. Step 4: Simplify right side
    235,098x = 244,419,494,544
  5. Step 5: Solve for x
    x = 244,419,494,544/235,098
  6. Step 6: Final answer
    x = 1,039,649.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.