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Finding the Third Proportional to 363,732 and 789,672

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Solution

The third proportional to 363,732 and 789,672 is: 1,714,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,732 : 789,672 = 789,672 : x
  2. Step 2: Convert to fraction form
    363,732/789,672 = 789,672/x
  3. Step 3: Cross multiply
    363,732x = 789,672 × 789,672
  4. Step 4: Simplify right side
    363,732x = 623,581,867,584
  5. Step 5: Solve for x
    x = 623,581,867,584/363,732
  6. Step 6: Final answer
    x = 1,714,399.25

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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.