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Finding the Third Proportional to 210,635 and 463,966

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Solution

The third proportional to 210,635 and 463,966 is: 1,021,978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,635 : 463,966 = 463,966 : x
  2. Step 2: Convert to fraction form
    210,635/463,966 = 463,966/x
  3. Step 3: Cross multiply
    210,635x = 463,966 × 463,966
  4. Step 4: Simplify right side
    210,635x = 215,264,449,156
  5. Step 5: Solve for x
    x = 215,264,449,156/210,635
  6. Step 6: Final answer
    x = 1,021,978.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.