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Finding the Third Proportional to 248,241 and 531,474

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Solution

The third proportional to 248,241 and 531,474 is: 1,137,864.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,241 : 531,474 = 531,474 : x
  2. Step 2: Convert to fraction form
    248,241/531,474 = 531,474/x
  3. Step 3: Cross multiply
    248,241x = 531,474 × 531,474
  4. Step 4: Simplify right side
    248,241x = 282,464,612,676
  5. Step 5: Solve for x
    x = 282,464,612,676/248,241
  6. Step 6: Final answer
    x = 1,137,864.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.