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Finding the Third Proportional to 321,934 and 635,760.50

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Solution

The third proportional to 321,934 and 635,760.50 is: 1,255,510.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,934 : 635,760.50 = 635,760.50 : x
  2. Step 2: Convert to fraction form
    321,934/635,760.50 = 635,760.50/x
  3. Step 3: Cross multiply
    321,934x = 635,760.50 × 635,760.50
  4. Step 4: Simplify right side
    321,934x = 404,191,413,360.25
  5. Step 5: Solve for x
    x = 404,191,413,360.25/321,934
  6. Step 6: Final answer
    x = 1,255,510.18

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.