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Finding the Third Proportional to 382,993 and 606,171

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Solution

The third proportional to 382,993 and 606,171 is: 959,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,993 : 606,171 = 606,171 : x
  2. Step 2: Convert to fraction form
    382,993/606,171 = 606,171/x
  3. Step 3: Cross multiply
    382,993x = 606,171 × 606,171
  4. Step 4: Simplify right side
    382,993x = 367,443,281,241
  5. Step 5: Solve for x
    x = 367,443,281,241/382,993
  6. Step 6: Final answer
    x = 959,399.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.