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Finding the Third Proportional to 448,872.75 and 629,857.13

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Solution

The third proportional to 448,872.75 and 629,857.13 is: 883,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,872.75 : 629,857.13 = 629,857.13 : x
  2. Step 2: Convert to fraction form
    448,872.75/629,857.13 = 629,857.13/x
  3. Step 3: Cross multiply
    448,872.75x = 629,857.13 × 629,857.13
  4. Step 4: Simplify right side
    448,872.75x = 396,719,997,913.27
  5. Step 5: Solve for x
    x = 396,719,997,913.27/448,872.75
  6. Step 6: Final answer
    x = 883,813.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.