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Finding the Third Proportional to 416,944 and 983,272

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Solution

The third proportional to 416,944 and 983,272 is: 2,318,833.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,944 : 983,272 = 983,272 : x
  2. Step 2: Convert to fraction form
    416,944/983,272 = 983,272/x
  3. Step 3: Cross multiply
    416,944x = 983,272 × 983,272
  4. Step 4: Simplify right side
    416,944x = 966,823,825,984
  5. Step 5: Solve for x
    x = 966,823,825,984/416,944
  6. Step 6: Final answer
    x = 2,318,833.77

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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.