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Finding the Third Proportional to 284,006.25 and 612,299.25

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Solution

The third proportional to 284,006.25 and 612,299.25 is: 1,320,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,006.25 : 612,299.25 = 612,299.25 : x
  2. Step 2: Convert to fraction form
    284,006.25/612,299.25 = 612,299.25/x
  3. Step 3: Cross multiply
    284,006.25x = 612,299.25 × 612,299.25
  4. Step 4: Simplify right side
    284,006.25x = 374,910,371,550.56
  5. Step 5: Solve for x
    x = 374,910,371,550.56/284,006.25
  6. Step 6: Final answer
    x = 1,320,077.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.