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Finding the Third Proportional to 297,081.75 and 641,508.75

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Solution

The third proportional to 297,081.75 and 641,508.75 is: 1,385,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,081.75 : 641,508.75 = 641,508.75 : x
  2. Step 2: Convert to fraction form
    297,081.75/641,508.75 = 641,508.75/x
  3. Step 3: Cross multiply
    297,081.75x = 641,508.75 × 641,508.75
  4. Step 4: Simplify right side
    297,081.75x = 411,533,476,326.56
  5. Step 5: Solve for x
    x = 411,533,476,326.56/297,081.75
  6. Step 6: Final answer
    x = 1,385,253.31

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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.