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Finding the Third Proportional to 336,198 and 520,533

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Solution

The third proportional to 336,198 and 520,533 is: 805,937.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,198 : 520,533 = 520,533 : x
  2. Step 2: Convert to fraction form
    336,198/520,533 = 520,533/x
  3. Step 3: Cross multiply
    336,198x = 520,533 × 520,533
  4. Step 4: Simplify right side
    336,198x = 270,954,604,089
  5. Step 5: Solve for x
    x = 270,954,604,089/336,198
  6. Step 6: Final answer
    x = 805,937.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.