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Finding the Third Proportional to 222,777 and 463,914

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Solution

The third proportional to 222,777 and 463,914 is: 966,061.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,777 : 463,914 = 463,914 : x
  2. Step 2: Convert to fraction form
    222,777/463,914 = 463,914/x
  3. Step 3: Cross multiply
    222,777x = 463,914 × 463,914
  4. Step 4: Simplify right side
    222,777x = 215,216,199,396
  5. Step 5: Solve for x
    x = 215,216,199,396/222,777
  6. Step 6: Final answer
    x = 966,061.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.