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Finding the Third Proportional to 363,736 and 789,680

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Solution

The third proportional to 363,736 and 789,680 is: 1,714,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,736 : 789,680 = 789,680 : x
  2. Step 2: Convert to fraction form
    363,736/789,680 = 789,680/x
  3. Step 3: Cross multiply
    363,736x = 789,680 × 789,680
  4. Step 4: Simplify right side
    363,736x = 623,594,502,400
  5. Step 5: Solve for x
    x = 623,594,502,400/363,736
  6. Step 6: Final answer
    x = 1,714,415.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.