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Finding the Third Proportional to 281,941 and 431,841

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Solution

The third proportional to 281,941 and 431,841 is: 661,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,941 : 431,841 = 431,841 : x
  2. Step 2: Convert to fraction form
    281,941/431,841 = 431,841/x
  3. Step 3: Cross multiply
    281,941x = 431,841 × 431,841
  4. Step 4: Simplify right side
    281,941x = 186,486,649,281
  5. Step 5: Solve for x
    x = 186,486,649,281/281,941
  6. Step 6: Final answer
    x = 661,438.56

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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.