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Finding the Third Proportional to 400,161 and 610,250

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Solution

The third proportional to 400,161 and 610,250 is: 930,638.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,161 : 610,250 = 610,250 : x
  2. Step 2: Convert to fraction form
    400,161/610,250 = 610,250/x
  3. Step 3: Cross multiply
    400,161x = 610,250 × 610,250
  4. Step 4: Simplify right side
    400,161x = 372,405,062,500
  5. Step 5: Solve for x
    x = 372,405,062,500/400,161
  6. Step 6: Final answer
    x = 930,638.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.