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Finding the Third Proportional to 367,951 and 539,809

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Solution

The third proportional to 367,951 and 539,809 is: 791,936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,951 : 539,809 = 539,809 : x
  2. Step 2: Convert to fraction form
    367,951/539,809 = 539,809/x
  3. Step 3: Cross multiply
    367,951x = 539,809 × 539,809
  4. Step 4: Simplify right side
    367,951x = 291,393,756,481
  5. Step 5: Solve for x
    x = 291,393,756,481/367,951
  6. Step 6: Final answer
    x = 791,936.31

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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.