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Finding the Third Proportional to 362,324.81 and 787,081.78

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Solution

The third proportional to 362,324.81 and 787,081.78 is: 1,709,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,324.81 : 787,081.78 = 787,081.78 : x
  2. Step 2: Convert to fraction form
    362,324.81/787,081.78 = 787,081.78/x
  3. Step 3: Cross multiply
    362,324.81x = 787,081.78 × 787,081.78
  4. Step 4: Simplify right side
    362,324.81x = 619,497,730,375.67
  5. Step 5: Solve for x
    x = 619,497,730,375.67/362,324.81
  6. Step 6: Final answer
    x = 1,709,785.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.