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Finding the Third Proportional to 416,948 and 983,282

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Solution

The third proportional to 416,948 and 983,282 is: 2,318,858.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,948 : 983,282 = 983,282 : x
  2. Step 2: Convert to fraction form
    416,948/983,282 = 983,282/x
  3. Step 3: Cross multiply
    416,948x = 983,282 × 983,282
  4. Step 4: Simplify right side
    416,948x = 966,843,491,524
  5. Step 5: Solve for x
    x = 966,843,491,524/416,948
  6. Step 6: Final answer
    x = 2,318,858.69

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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.