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Finding the Third Proportional to 212,808 and 456,974

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Solution

The third proportional to 212,808 and 456,974 is: 981,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,808 : 456,974 = 456,974 : x
  2. Step 2: Convert to fraction form
    212,808/456,974 = 456,974/x
  3. Step 3: Cross multiply
    212,808x = 456,974 × 456,974
  4. Step 4: Simplify right side
    212,808x = 208,825,236,676
  5. Step 5: Solve for x
    x = 208,825,236,676/212,808
  6. Step 6: Final answer
    x = 981,284.71

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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.