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Finding the Third Proportional to 295,981 and 641,857

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Solution

The third proportional to 295,981 and 641,857 is: 1,391,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,981 : 641,857 = 641,857 : x
  2. Step 2: Convert to fraction form
    295,981/641,857 = 641,857/x
  3. Step 3: Cross multiply
    295,981x = 641,857 × 641,857
  4. Step 4: Simplify right side
    295,981x = 411,980,408,449
  5. Step 5: Solve for x
    x = 411,980,408,449/295,981
  6. Step 6: Final answer
    x = 1,391,915.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.