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Finding the Third Proportional to 398,786.50 and 612,962

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Solution

The third proportional to 398,786.50 and 612,962 is: 942,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,786.50 : 612,962 = 612,962 : x
  2. Step 2: Convert to fraction form
    398,786.50/612,962 = 612,962/x
  3. Step 3: Cross multiply
    398,786.50x = 612,962 × 612,962
  4. Step 4: Simplify right side
    398,786.50x = 375,722,413,444
  5. Step 5: Solve for x
    x = 375,722,413,444/398,786.50
  6. Step 6: Final answer
    x = 942,164.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.