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Finding the Third Proportional to 437,792 and 629,040

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Solution

The third proportional to 437,792 and 629,040 is: 903,834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,792 : 629,040 = 629,040 : x
  2. Step 2: Convert to fraction form
    437,792/629,040 = 629,040/x
  3. Step 3: Cross multiply
    437,792x = 629,040 × 629,040
  4. Step 4: Simplify right side
    437,792x = 395,691,321,600
  5. Step 5: Solve for x
    x = 395,691,321,600/437,792
  6. Step 6: Final answer
    x = 903,834.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.