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Finding the Third Proportional to 362,414.25 and 787,107.38

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Solution

The third proportional to 362,414.25 and 787,107.38 is: 1,709,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,414.25 : 787,107.38 = 787,107.38 : x
  2. Step 2: Convert to fraction form
    362,414.25/787,107.38 = 787,107.38/x
  3. Step 3: Cross multiply
    362,414.25x = 787,107.38 × 787,107.38
  4. Step 4: Simplify right side
    362,414.25x = 619,538,019,779.39
  5. Step 5: Solve for x
    x = 619,538,019,779.39/362,414.25
  6. Step 6: Final answer
    x = 1,709,474.78

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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.