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Finding the Third Proportional to 211,981 and 460,771

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Solution

The third proportional to 211,981 and 460,771 is: 1,001,551.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,981 : 460,771 = 460,771 : x
  2. Step 2: Convert to fraction form
    211,981/460,771 = 460,771/x
  3. Step 3: Cross multiply
    211,981x = 460,771 × 460,771
  4. Step 4: Simplify right side
    211,981x = 212,309,914,441
  5. Step 5: Solve for x
    x = 212,309,914,441/211,981
  6. Step 6: Final answer
    x = 1,001,551.62

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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.