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Finding the Third Proportional to 416,162 and 630,280

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Solution

The third proportional to 416,162 and 630,280 is: 954,563.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,162 : 630,280 = 630,280 : x
  2. Step 2: Convert to fraction form
    416,162/630,280 = 630,280/x
  3. Step 3: Cross multiply
    416,162x = 630,280 × 630,280
  4. Step 4: Simplify right side
    416,162x = 397,252,878,400
  5. Step 5: Solve for x
    x = 397,252,878,400/416,162
  6. Step 6: Final answer
    x = 954,563.07

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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.