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Finding the Third Proportional to 212,409 and 461,795

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Solution

The third proportional to 212,409 and 461,795 is: 1,003,981.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,409 : 461,795 = 461,795 : x
  2. Step 2: Convert to fraction form
    212,409/461,795 = 461,795/x
  3. Step 3: Cross multiply
    212,409x = 461,795 × 461,795
  4. Step 4: Simplify right side
    212,409x = 213,254,622,025
  5. Step 5: Solve for x
    x = 213,254,622,025/212,409
  6. Step 6: Final answer
    x = 1,003,981.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.