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Finding the Third Proportional to 378,252 and 773,784

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Solution

The third proportional to 378,252 and 773,784 is: 1,582,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,252 : 773,784 = 773,784 : x
  2. Step 2: Convert to fraction form
    378,252/773,784 = 773,784/x
  3. Step 3: Cross multiply
    378,252x = 773,784 × 773,784
  4. Step 4: Simplify right side
    378,252x = 598,741,678,656
  5. Step 5: Solve for x
    x = 598,741,678,656/378,252
  6. Step 6: Final answer
    x = 1,582,917.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.