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Finding the Third Proportional to 338,026 and 519,616

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Solution

The third proportional to 338,026 and 519,616 is: 798,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,026 : 519,616 = 519,616 : x
  2. Step 2: Convert to fraction form
    338,026/519,616 = 519,616/x
  3. Step 3: Cross multiply
    338,026x = 519,616 × 519,616
  4. Step 4: Simplify right side
    338,026x = 270,000,787,456
  5. Step 5: Solve for x
    x = 270,000,787,456/338,026
  6. Step 6: Final answer
    x = 798,757.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.