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Finding the Third Proportional to 281,958 and 665,367

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Solution

The third proportional to 281,958 and 665,367 is: 1,570,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,958 : 665,367 = 665,367 : x
  2. Step 2: Convert to fraction form
    281,958/665,367 = 665,367/x
  3. Step 3: Cross multiply
    281,958x = 665,367 × 665,367
  4. Step 4: Simplify right side
    281,958x = 442,713,244,689
  5. Step 5: Solve for x
    x = 442,713,244,689/281,958
  6. Step 6: Final answer
    x = 1,570,138.97

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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.