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Finding the Third Proportional to 367,672.50 and 501,251.63

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Solution

The third proportional to 367,672.50 and 501,251.63 is: 683,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,672.50 : 501,251.63 = 501,251.63 : x
  2. Step 2: Convert to fraction form
    367,672.50/501,251.63 = 501,251.63/x
  3. Step 3: Cross multiply
    367,672.50x = 501,251.63 × 501,251.63
  4. Step 4: Simplify right side
    367,672.50x = 251,253,191,565.14
  5. Step 5: Solve for x
    x = 251,253,191,565.14/367,672.50
  6. Step 6: Final answer
    x = 683,361.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.