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Finding the Third Proportional to 283,936 and 611,612

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Solution

The third proportional to 283,936 and 611,612 is: 1,317,442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,936 : 611,612 = 611,612 : x
  2. Step 2: Convert to fraction form
    283,936/611,612 = 611,612/x
  3. Step 3: Cross multiply
    283,936x = 611,612 × 611,612
  4. Step 4: Simplify right side
    283,936x = 374,069,238,544
  5. Step 5: Solve for x
    x = 374,069,238,544/283,936
  6. Step 6: Final answer
    x = 1,317,442.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.