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Finding the Third Proportional to 600,200 and 950,412

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Solution

The third proportional to 600,200 and 950,412 is: 1,504,969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,200 : 950,412 = 950,412 : x
  2. Step 2: Convert to fraction form
    600,200/950,412 = 950,412/x
  3. Step 3: Cross multiply
    600,200x = 950,412 × 950,412
  4. Step 4: Simplify right side
    600,200x = 903,282,969,744
  5. Step 5: Solve for x
    x = 903,282,969,744/600,200
  6. Step 6: Final answer
    x = 1,504,969.96

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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.