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Finding the Third Proportional to 491,197.50 and 733,758.75

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Solution

The third proportional to 491,197.50 and 733,758.75 is: 1,096,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,197.50 : 733,758.75 = 733,758.75 : x
  2. Step 2: Convert to fraction form
    491,197.50/733,758.75 = 733,758.75/x
  3. Step 3: Cross multiply
    491,197.50x = 733,758.75 × 733,758.75
  4. Step 4: Simplify right side
    491,197.50x = 538,401,903,201.56
  5. Step 5: Solve for x
    x = 538,401,903,201.56/491,197.50
  6. Step 6: Final answer
    x = 1,096,100.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.