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Finding the Third Proportional to 416,165 and 630,285

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Solution

The third proportional to 416,165 and 630,285 is: 954,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,165 : 630,285 = 630,285 : x
  2. Step 2: Convert to fraction form
    416,165/630,285 = 630,285/x
  3. Step 3: Cross multiply
    416,165x = 630,285 × 630,285
  4. Step 4: Simplify right side
    416,165x = 397,259,181,225
  5. Step 5: Solve for x
    x = 397,259,181,225/416,165
  6. Step 6: Final answer
    x = 954,571.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.