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Finding the Third Proportional to 363,912 and 789,984

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Solution

The third proportional to 363,912 and 789,984 is: 1,714,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,912 : 789,984 = 789,984 : x
  2. Step 2: Convert to fraction form
    363,912/789,984 = 789,984/x
  3. Step 3: Cross multiply
    363,912x = 789,984 × 789,984
  4. Step 4: Simplify right side
    363,912x = 624,074,720,256
  5. Step 5: Solve for x
    x = 624,074,720,256/363,912
  6. Step 6: Final answer
    x = 1,714,905.58

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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.