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Finding the Third Proportional to 378,448 and 567,728

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Solution

The third proportional to 378,448 and 567,728 is: 851,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,448 : 567,728 = 567,728 : x
  2. Step 2: Convert to fraction form
    378,448/567,728 = 567,728/x
  3. Step 3: Cross multiply
    378,448x = 567,728 × 567,728
  4. Step 4: Simplify right side
    378,448x = 322,315,081,984
  5. Step 5: Solve for x
    x = 322,315,081,984/378,448
  6. Step 6: Final answer
    x = 851,676.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.