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Finding the Third Proportional to 281,944 and 431,846

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Solution

The third proportional to 281,944 and 431,846 is: 661,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,944 : 431,846 = 431,846 : x
  2. Step 2: Convert to fraction form
    281,944/431,846 = 431,846/x
  3. Step 3: Cross multiply
    281,944x = 431,846 × 431,846
  4. Step 4: Simplify right side
    281,944x = 186,490,967,716
  5. Step 5: Solve for x
    x = 186,490,967,716/281,944
  6. Step 6: Final answer
    x = 661,446.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.