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Finding the Third Proportional to 419,496 and 629,289

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Solution

The third proportional to 419,496 and 629,289 is: 944,001.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,496 : 629,289 = 629,289 : x
  2. Step 2: Convert to fraction form
    419,496/629,289 = 629,289/x
  3. Step 3: Cross multiply
    419,496x = 629,289 × 629,289
  4. Step 4: Simplify right side
    419,496x = 396,004,645,521
  5. Step 5: Solve for x
    x = 396,004,645,521/419,496
  6. Step 6: Final answer
    x = 944,001.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.