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Finding the Third Proportional to 437,796 and 629,046

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Solution

The third proportional to 437,796 and 629,046 is: 903,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,796 : 629,046 = 629,046 : x
  2. Step 2: Convert to fraction form
    437,796/629,046 = 629,046/x
  3. Step 3: Cross multiply
    437,796x = 629,046 × 629,046
  4. Step 4: Simplify right side
    437,796x = 395,698,870,116
  5. Step 5: Solve for x
    x = 395,698,870,116/437,796
  6. Step 6: Final answer
    x = 903,843.05

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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.