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Finding the Third Proportional to 366,975 and 767,241

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Solution

The third proportional to 366,975 and 767,241 is: 1,604,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,975 : 767,241 = 767,241 : x
  2. Step 2: Convert to fraction form
    366,975/767,241 = 767,241/x
  3. Step 3: Cross multiply
    366,975x = 767,241 × 767,241
  4. Step 4: Simplify right side
    366,975x = 588,658,752,081
  5. Step 5: Solve for x
    x = 588,658,752,081/366,975
  6. Step 6: Final answer
    x = 1,604,084.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.