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Finding the Third Proportional to 290,646 and 394,497

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Solution

The third proportional to 290,646 and 394,497 is: 535,455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,646 : 394,497 = 394,497 : x
  2. Step 2: Convert to fraction form
    290,646/394,497 = 394,497/x
  3. Step 3: Cross multiply
    290,646x = 394,497 × 394,497
  4. Step 4: Simplify right side
    290,646x = 155,627,883,009
  5. Step 5: Solve for x
    x = 155,627,883,009/290,646
  6. Step 6: Final answer
    x = 535,455.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.