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Finding the Third Proportional to 440,942 and 681,299

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Solution

The third proportional to 440,942 and 681,299 is: 1,052,674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,942 : 681,299 = 681,299 : x
  2. Step 2: Convert to fraction form
    440,942/681,299 = 681,299/x
  3. Step 3: Cross multiply
    440,942x = 681,299 × 681,299
  4. Step 4: Simplify right side
    440,942x = 464,168,327,401
  5. Step 5: Solve for x
    x = 464,168,327,401/440,942
  6. Step 6: Final answer
    x = 1,052,674.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.