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Finding the Third Proportional to 214,585 and 461,894

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Solution

The third proportional to 214,585 and 461,894 is: 994,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,585 : 461,894 = 461,894 : x
  2. Step 2: Convert to fraction form
    214,585/461,894 = 461,894/x
  3. Step 3: Cross multiply
    214,585x = 461,894 × 461,894
  4. Step 4: Simplify right side
    214,585x = 213,346,067,236
  5. Step 5: Solve for x
    x = 213,346,067,236/214,585
  6. Step 6: Final answer
    x = 994,226.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.