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Finding the Third Proportional to 362,768.63 and 847,120.78

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Solution

The third proportional to 362,768.63 and 847,120.78 is: 1,978,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,768.63 : 847,120.78 = 847,120.78 : x
  2. Step 2: Convert to fraction form
    362,768.63/847,120.78 = 847,120.78/x
  3. Step 3: Cross multiply
    362,768.63x = 847,120.78 × 847,120.78
  4. Step 4: Simplify right side
    362,768.63x = 717,613,618,025.61
  5. Step 5: Solve for x
    x = 717,613,618,025.61/362,768.63
  6. Step 6: Final answer
    x = 1,978,157.89

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