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Finding the Third Proportional to 283,185 and 411,404

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Solution

The third proportional to 283,185 and 411,404 is: 597,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,185 : 411,404 = 411,404 : x
  2. Step 2: Convert to fraction form
    283,185/411,404 = 411,404/x
  3. Step 3: Cross multiply
    283,185x = 411,404 × 411,404
  4. Step 4: Simplify right side
    283,185x = 169,253,251,216
  5. Step 5: Solve for x
    x = 169,253,251,216/283,185
  6. Step 6: Final answer
    x = 597,677.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.