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Finding the Third Proportional to 350,648 and 496,164

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Solution

The third proportional to 350,648 and 496,164 is: 702,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,648 : 496,164 = 496,164 : x
  2. Step 2: Convert to fraction form
    350,648/496,164 = 496,164/x
  3. Step 3: Cross multiply
    350,648x = 496,164 × 496,164
  4. Step 4: Simplify right side
    350,648x = 246,178,714,896
  5. Step 5: Solve for x
    x = 246,178,714,896/350,648
  6. Step 6: Final answer
    x = 702,067.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.