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Finding the Third Proportional to 367,002 and 536,340.75

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Solution

The third proportional to 367,002 and 536,340.75 is: 783,814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,002 : 536,340.75 = 536,340.75 : x
  2. Step 2: Convert to fraction form
    367,002/536,340.75 = 536,340.75/x
  3. Step 3: Cross multiply
    367,002x = 536,340.75 × 536,340.75
  4. Step 4: Simplify right side
    367,002x = 287,661,400,110.56
  5. Step 5: Solve for x
    x = 287,661,400,110.56/367,002
  6. Step 6: Final answer
    x = 783,814.26

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.