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Finding the Third Proportional to 320,383,359 and 481,428,108

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Solution

The third proportional to 320,383,359 and 481,428,108 is: 723,424,037.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,383,359 : 481,428,108 = 481,428,108 : x
  2. Step 2: Convert to fraction form
    320,383,359/481,428,108 = 481,428,108/x
  3. Step 3: Cross multiply
    320,383,359x = 481,428,108 × 481,428,108
  4. Step 4: Simplify right side
    320,383,359x = 231,773,023,172,459,648
  5. Step 5: Solve for x
    x = 231,773,023,172,459,648/320,383,359
  6. Step 6: Final answer
    x = 723,424,037.68

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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.