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Finding the Third Proportional to 362,206.69 and 786,646.69

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Solution

The third proportional to 362,206.69 and 786,646.69 is: 1,708,452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,206.69 : 786,646.69 = 786,646.69 : x
  2. Step 2: Convert to fraction form
    362,206.69/786,646.69 = 786,646.69/x
  3. Step 3: Cross multiply
    362,206.69x = 786,646.69 × 786,646.69
  4. Step 4: Simplify right side
    362,206.69x = 618,813,010,954.72
  5. Step 5: Solve for x
    x = 618,813,010,954.72/362,206.69
  6. Step 6: Final answer
    x = 1,708,452.75

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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.