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Finding the Third Proportional to 494,654 and 698,781

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Solution

The third proportional to 494,654 and 698,781 is: 987,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,654 : 698,781 = 698,781 : x
  2. Step 2: Convert to fraction form
    494,654/698,781 = 698,781/x
  3. Step 3: Cross multiply
    494,654x = 698,781 × 698,781
  4. Step 4: Simplify right side
    494,654x = 488,294,885,961
  5. Step 5: Solve for x
    x = 488,294,885,961/494,654
  6. Step 6: Final answer
    x = 987,144.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.