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Finding the Third Proportional to 362,760.19 and 768,718.69

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Solution

The third proportional to 362,760.19 and 768,718.69 is: 1,628,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,760.19 : 768,718.69 = 768,718.69 : x
  2. Step 2: Convert to fraction form
    362,760.19/768,718.69 = 768,718.69/x
  3. Step 3: Cross multiply
    362,760.19x = 768,718.69 × 768,718.69
  4. Step 4: Simplify right side
    362,760.19x = 590,928,420,511.72
  5. Step 5: Solve for x
    x = 590,928,420,511.72/362,760.19
  6. Step 6: Final answer
    x = 1,628,978.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.