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Finding the Third Proportional to 213,601 and 454,810

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Solution

The third proportional to 213,601 and 454,810 is: 968,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,601 : 454,810 = 454,810 : x
  2. Step 2: Convert to fraction form
    213,601/454,810 = 454,810/x
  3. Step 3: Cross multiply
    213,601x = 454,810 × 454,810
  4. Step 4: Simplify right side
    213,601x = 206,852,136,100
  5. Step 5: Solve for x
    x = 206,852,136,100/213,601
  6. Step 6: Final answer
    x = 968,404.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.