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Finding the Third Proportional to 444,469 and 722,108

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Solution

The third proportional to 444,469 and 722,108 is: 1,173,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,469 : 722,108 = 722,108 : x
  2. Step 2: Convert to fraction form
    444,469/722,108 = 722,108/x
  3. Step 3: Cross multiply
    444,469x = 722,108 × 722,108
  4. Step 4: Simplify right side
    444,469x = 521,439,963,664
  5. Step 5: Solve for x
    x = 521,439,963,664/444,469
  6. Step 6: Final answer
    x = 1,173,175.10

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.