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Finding the Third Proportional to 493,260 and 738,538

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Solution

The third proportional to 493,260 and 738,538 is: 1,105,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,260 : 738,538 = 738,538 : x
  2. Step 2: Convert to fraction form
    493,260/738,538 = 738,538/x
  3. Step 3: Cross multiply
    493,260x = 738,538 × 738,538
  4. Step 4: Simplify right side
    493,260x = 545,438,377,444
  5. Step 5: Solve for x
    x = 545,438,377,444/493,260
  6. Step 6: Final answer
    x = 1,105,782.71

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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.