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Finding the Third Proportional to 281,094 and 431,795

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Solution

The third proportional to 281,094 and 431,795 is: 663,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,094 : 431,795 = 431,795 : x
  2. Step 2: Convert to fraction form
    281,094/431,795 = 431,795/x
  3. Step 3: Cross multiply
    281,094x = 431,795 × 431,795
  4. Step 4: Simplify right side
    281,094x = 186,446,922,025
  5. Step 5: Solve for x
    x = 186,446,922,025/281,094
  6. Step 6: Final answer
    x = 663,290.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.