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Finding the Third Proportional to 350,923.50 and 488,941

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Solution

The third proportional to 350,923.50 and 488,941 is: 681,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,923.50 : 488,941 = 488,941 : x
  2. Step 2: Convert to fraction form
    350,923.50/488,941 = 488,941/x
  3. Step 3: Cross multiply
    350,923.50x = 488,941 × 488,941
  4. Step 4: Simplify right side
    350,923.50x = 239,063,301,481
  5. Step 5: Solve for x
    x = 239,063,301,481/350,923.50
  6. Step 6: Final answer
    x = 681,240.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.