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Finding the Third Proportional to 416,950 and 983,287

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Solution

The third proportional to 416,950 and 983,287 is: 2,318,871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,950 : 983,287 = 983,287 : x
  2. Step 2: Convert to fraction form
    416,950/983,287 = 983,287/x
  3. Step 3: Cross multiply
    416,950x = 983,287 × 983,287
  4. Step 4: Simplify right side
    416,950x = 966,853,324,369
  5. Step 5: Solve for x
    x = 966,853,324,369/416,950
  6. Step 6: Final answer
    x = 2,318,871.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.