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Finding the Third Proportional to 416,369 and 629,089

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Solution

The third proportional to 416,369 and 629,089 is: 950,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,369 : 629,089 = 629,089 : x
  2. Step 2: Convert to fraction form
    416,369/629,089 = 629,089/x
  3. Step 3: Cross multiply
    416,369x = 629,089 × 629,089
  4. Step 4: Simplify right side
    416,369x = 395,752,969,921
  5. Step 5: Solve for x
    x = 395,752,969,921/416,369
  6. Step 6: Final answer
    x = 950,486.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.