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Finding the Third Proportional to 284,310 and 629,653.50

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Solution

The third proportional to 284,310 and 629,653.50 is: 1,394,476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,310 : 629,653.50 = 629,653.50 : x
  2. Step 2: Convert to fraction form
    284,310/629,653.50 = 629,653.50/x
  3. Step 3: Cross multiply
    284,310x = 629,653.50 × 629,653.50
  4. Step 4: Simplify right side
    284,310x = 396,463,530,062.25
  5. Step 5: Solve for x
    x = 396,463,530,062.25/284,310
  6. Step 6: Final answer
    x = 1,394,476.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.