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Finding the Third Proportional to 312,668.50 and 636,377.50

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Solution

The third proportional to 312,668.50 and 636,377.50 is: 1,295,225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,668.50 : 636,377.50 = 636,377.50 : x
  2. Step 2: Convert to fraction form
    312,668.50/636,377.50 = 636,377.50/x
  3. Step 3: Cross multiply
    312,668.50x = 636,377.50 × 636,377.50
  4. Step 4: Simplify right side
    312,668.50x = 404,976,322,506.25
  5. Step 5: Solve for x
    x = 404,976,322,506.25/312,668.50
  6. Step 6: Final answer
    x = 1,295,225.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.