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Finding the Third Proportional to 442,350 and 942,615

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Solution

The third proportional to 442,350 and 942,615 is: 2,008,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,350 : 942,615 = 942,615 : x
  2. Step 2: Convert to fraction form
    442,350/942,615 = 942,615/x
  3. Step 3: Cross multiply
    442,350x = 942,615 × 942,615
  4. Step 4: Simplify right side
    442,350x = 888,523,038,225
  5. Step 5: Solve for x
    x = 888,523,038,225/442,350
  6. Step 6: Final answer
    x = 2,008,642.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.