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Finding the Third Proportional to 362,794.50 and 847,186.50

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Solution

The third proportional to 362,794.50 and 847,186.50 is: 1,978,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,794.50 : 847,186.50 = 847,186.50 : x
  2. Step 2: Convert to fraction form
    362,794.50/847,186.50 = 847,186.50/x
  3. Step 3: Cross multiply
    362,794.50x = 847,186.50 × 847,186.50
  4. Step 4: Simplify right side
    362,794.50x = 717,724,965,782.25
  5. Step 5: Solve for x
    x = 717,724,965,782.25/362,794.50
  6. Step 6: Final answer
    x = 1,978,323.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.