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Finding the Third Proportional to 368,452 and 568,966

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Solution

The third proportional to 368,452 and 568,966 is: 878,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,452 : 568,966 = 568,966 : x
  2. Step 2: Convert to fraction form
    368,452/568,966 = 568,966/x
  3. Step 3: Cross multiply
    368,452x = 568,966 × 568,966
  4. Step 4: Simplify right side
    368,452x = 323,722,309,156
  5. Step 5: Solve for x
    x = 323,722,309,156/368,452
  6. Step 6: Final answer
    x = 878,601.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.