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Finding the Third Proportional to 213,812 and 461,524

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Solution

The third proportional to 213,812 and 461,524 is: 996,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,812 : 461,524 = 461,524 : x
  2. Step 2: Convert to fraction form
    213,812/461,524 = 461,524/x
  3. Step 3: Cross multiply
    213,812x = 461,524 × 461,524
  4. Step 4: Simplify right side
    213,812x = 213,004,402,576
  5. Step 5: Solve for x
    x = 213,004,402,576/213,812
  6. Step 6: Final answer
    x = 996,222.86

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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.