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Finding the Third Proportional to 491,037 and 738,381

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Solution

The third proportional to 491,037 and 738,381 is: 1,110,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,037 : 738,381 = 738,381 : x
  2. Step 2: Convert to fraction form
    491,037/738,381 = 738,381/x
  3. Step 3: Cross multiply
    491,037x = 738,381 × 738,381
  4. Step 4: Simplify right side
    491,037x = 545,206,501,161
  5. Step 5: Solve for x
    x = 545,206,501,161/491,037
  6. Step 6: Final answer
    x = 1,110,316.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.