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Finding the Third Proportional to 278,512 and 594,607

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Solution

The third proportional to 278,512 and 594,607 is: 1,269,451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,512 : 594,607 = 594,607 : x
  2. Step 2: Convert to fraction form
    278,512/594,607 = 594,607/x
  3. Step 3: Cross multiply
    278,512x = 594,607 × 594,607
  4. Step 4: Simplify right side
    278,512x = 353,557,484,449
  5. Step 5: Solve for x
    x = 353,557,484,449/278,512
  6. Step 6: Final answer
    x = 1,269,451.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.