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Finding the Third Proportional to 227,717 and 486,963

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Solution

The third proportional to 227,717 and 486,963 is: 1,041,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,717 : 486,963 = 486,963 : x
  2. Step 2: Convert to fraction form
    227,717/486,963 = 486,963/x
  3. Step 3: Cross multiply
    227,717x = 486,963 × 486,963
  4. Step 4: Simplify right side
    227,717x = 237,132,963,369
  5. Step 5: Solve for x
    x = 237,132,963,369/227,717
  6. Step 6: Final answer
    x = 1,041,349.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.