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Finding the Third Proportional to 213,806 and 461,510

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Solution

The third proportional to 213,806 and 461,510 is: 996,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,806 : 461,510 = 461,510 : x
  2. Step 2: Convert to fraction form
    213,806/461,510 = 461,510/x
  3. Step 3: Cross multiply
    213,806x = 461,510 × 461,510
  4. Step 4: Simplify right side
    213,806x = 212,991,480,100
  5. Step 5: Solve for x
    x = 212,991,480,100/213,806
  6. Step 6: Final answer
    x = 996,190.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.