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Finding the Third Proportional to 349,180 and 533,916

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Solution

The third proportional to 349,180 and 533,916 is: 816,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,180 : 533,916 = 533,916 : x
  2. Step 2: Convert to fraction form
    349,180/533,916 = 533,916/x
  3. Step 3: Cross multiply
    349,180x = 533,916 × 533,916
  4. Step 4: Simplify right side
    349,180x = 285,066,295,056
  5. Step 5: Solve for x
    x = 285,066,295,056/349,180
  6. Step 6: Final answer
    x = 816,387.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.