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Finding the Third Proportional to 437,768 and 629,004

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Solution

The third proportional to 437,768 and 629,004 is: 903,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,768 : 629,004 = 629,004 : x
  2. Step 2: Convert to fraction form
    437,768/629,004 = 629,004/x
  3. Step 3: Cross multiply
    437,768x = 629,004 × 629,004
  4. Step 4: Simplify right side
    437,768x = 395,646,032,016
  5. Step 5: Solve for x
    x = 395,646,032,016/437,768
  6. Step 6: Final answer
    x = 903,780.16

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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.