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Finding the Third Proportional to 416,954 and 983,297

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Solution

The third proportional to 416,954 and 983,297 is: 2,318,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,954 : 983,297 = 983,297 : x
  2. Step 2: Convert to fraction form
    416,954/983,297 = 983,297/x
  3. Step 3: Cross multiply
    416,954x = 983,297 × 983,297
  4. Step 4: Simplify right side
    416,954x = 966,872,990,209
  5. Step 5: Solve for x
    x = 966,872,990,209/416,954
  6. Step 6: Final answer
    x = 2,318,896.07

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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.