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Finding the Third Proportional to 368,704 and 789,632

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Solution

The third proportional to 368,704 and 789,632 is: 1,691,109.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,704 : 789,632 = 789,632 : x
  2. Step 2: Convert to fraction form
    368,704/789,632 = 789,632/x
  3. Step 3: Cross multiply
    368,704x = 789,632 × 789,632
  4. Step 4: Simplify right side
    368,704x = 623,518,695,424
  5. Step 5: Solve for x
    x = 623,518,695,424/368,704
  6. Step 6: Final answer
    x = 1,691,109.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.