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Finding the Third Proportional to 338,841 and 496,944

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Solution

The third proportional to 338,841 and 496,944 is: 728,817.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,841 : 496,944 = 496,944 : x
  2. Step 2: Convert to fraction form
    338,841/496,944 = 496,944/x
  3. Step 3: Cross multiply
    338,841x = 496,944 × 496,944
  4. Step 4: Simplify right side
    338,841x = 246,953,339,136
  5. Step 5: Solve for x
    x = 246,953,339,136/338,841
  6. Step 6: Final answer
    x = 728,817.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.