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Finding the Third Proportional to 331,938 and 461,092.50

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Solution

The third proportional to 331,938 and 461,092.50 is: 640,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,938 : 461,092.50 = 461,092.50 : x
  2. Step 2: Convert to fraction form
    331,938/461,092.50 = 461,092.50/x
  3. Step 3: Cross multiply
    331,938x = 461,092.50 × 461,092.50
  4. Step 4: Simplify right side
    331,938x = 212,606,293,556.25
  5. Step 5: Solve for x
    x = 212,606,293,556.25/331,938
  6. Step 6: Final answer
    x = 640,500.01

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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.