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Finding the Third Proportional to 458,204 and 958,137

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Solution

The third proportional to 458,204 and 958,137 is: 2,003,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,204 : 958,137 = 958,137 : x
  2. Step 2: Convert to fraction form
    458,204/958,137 = 958,137/x
  3. Step 3: Cross multiply
    458,204x = 958,137 × 958,137
  4. Step 4: Simplify right side
    458,204x = 918,026,510,769
  5. Step 5: Solve for x
    x = 918,026,510,769/458,204
  6. Step 6: Final answer
    x = 2,003,532.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.