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Finding the Third Proportional to 312,645 and 636,336

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Solution

The third proportional to 312,645 and 636,336 is: 1,295,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,645 : 636,336 = 636,336 : x
  2. Step 2: Convert to fraction form
    312,645/636,336 = 636,336/x
  3. Step 3: Cross multiply
    312,645x = 636,336 × 636,336
  4. Step 4: Simplify right side
    312,645x = 404,923,504,896
  5. Step 5: Solve for x
    x = 404,923,504,896/312,645
  6. Step 6: Final answer
    x = 1,295,154.26

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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.