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Finding the Third Proportional to 362,206.69 and 786,682.13

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Solution

The third proportional to 362,206.69 and 786,682.13 is: 1,708,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,206.69 : 786,682.13 = 786,682.13 : x
  2. Step 2: Convert to fraction form
    362,206.69/786,682.13 = 786,682.13/x
  3. Step 3: Cross multiply
    362,206.69x = 786,682.13 × 786,682.13
  4. Step 4: Simplify right side
    362,206.69x = 618,868,765,794.52
  5. Step 5: Solve for x
    x = 618,868,765,794.52/362,206.69
  6. Step 6: Final answer
    x = 1,708,606.68

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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.