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Finding the Third Proportional to 362,704.50 and 789,642

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Solution

The third proportional to 362,704.50 and 789,642 is: 1,719,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,704.50 : 789,642 = 789,642 : x
  2. Step 2: Convert to fraction form
    362,704.50/789,642 = 789,642/x
  3. Step 3: Cross multiply
    362,704.50x = 789,642 × 789,642
  4. Step 4: Simplify right side
    362,704.50x = 623,534,488,164
  5. Step 5: Solve for x
    x = 623,534,488,164/362,704.50
  6. Step 6: Final answer
    x = 1,719,125.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.