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Finding the Third Proportional to 213,766 and 461,795

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Solution

The third proportional to 213,766 and 461,795 is: 997,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,766 : 461,795 = 461,795 : x
  2. Step 2: Convert to fraction form
    213,766/461,795 = 461,795/x
  3. Step 3: Cross multiply
    213,766x = 461,795 × 461,795
  4. Step 4: Simplify right side
    213,766x = 213,254,622,025
  5. Step 5: Solve for x
    x = 213,254,622,025/213,766
  6. Step 6: Final answer
    x = 997,607.77

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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.