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Finding the Third Proportional to 339,966 and 500,108

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Solution

The third proportional to 339,966 and 500,108 is: 735,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,966 : 500,108 = 500,108 : x
  2. Step 2: Convert to fraction form
    339,966/500,108 = 500,108/x
  3. Step 3: Cross multiply
    339,966x = 500,108 × 500,108
  4. Step 4: Simplify right side
    339,966x = 250,108,011,664
  5. Step 5: Solve for x
    x = 250,108,011,664/339,966
  6. Step 6: Final answer
    x = 735,685.37

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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.