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Finding the Third Proportional to 387,104 and 789,760

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Solution

The third proportional to 387,104 and 789,760 is: 1,611,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,104 : 789,760 = 789,760 : x
  2. Step 2: Convert to fraction form
    387,104/789,760 = 789,760/x
  3. Step 3: Cross multiply
    387,104x = 789,760 × 789,760
  4. Step 4: Simplify right side
    387,104x = 623,720,857,600
  5. Step 5: Solve for x
    x = 623,720,857,600/387,104
  6. Step 6: Final answer
    x = 1,611,248.81

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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.