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Finding the Third Proportional to 297,072.56 and 641,493

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Solution

The third proportional to 297,072.56 and 641,493 is: 1,385,228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,072.56 : 641,493 = 641,493 : x
  2. Step 2: Convert to fraction form
    297,072.56/641,493 = 641,493/x
  3. Step 3: Cross multiply
    297,072.56x = 641,493 × 641,493
  4. Step 4: Simplify right side
    297,072.56x = 411,513,269,049
  5. Step 5: Solve for x
    x = 411,513,269,049/297,072.56
  6. Step 6: Final answer
    x = 1,385,228.13

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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.