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Finding the Third Proportional to 212,259 and 461,994

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Solution

The third proportional to 212,259 and 461,994 is: 1,005,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,259 : 461,994 = 461,994 : x
  2. Step 2: Convert to fraction form
    212,259/461,994 = 461,994/x
  3. Step 3: Cross multiply
    212,259x = 461,994 × 461,994
  4. Step 4: Simplify right side
    212,259x = 213,438,456,036
  5. Step 5: Solve for x
    x = 213,438,456,036/212,259
  6. Step 6: Final answer
    x = 1,005,556.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.