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Finding the Third Proportional to 298,997 and 475,469

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Solution

The third proportional to 298,997 and 475,469 is: 756,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,997 : 475,469 = 475,469 : x
  2. Step 2: Convert to fraction form
    298,997/475,469 = 475,469/x
  3. Step 3: Cross multiply
    298,997x = 475,469 × 475,469
  4. Step 4: Simplify right side
    298,997x = 226,070,769,961
  5. Step 5: Solve for x
    x = 226,070,769,961/298,997
  6. Step 6: Final answer
    x = 756,097.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.