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Finding the Third Proportional to 213,027 and 463,638

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Solution

The third proportional to 213,027 and 463,638 is: 1,009,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,027 : 463,638 = 463,638 : x
  2. Step 2: Convert to fraction form
    213,027/463,638 = 463,638/x
  3. Step 3: Cross multiply
    213,027x = 463,638 × 463,638
  4. Step 4: Simplify right side
    213,027x = 214,960,195,044
  5. Step 5: Solve for x
    x = 214,960,195,044/213,027
  6. Step 6: Final answer
    x = 1,009,074.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.