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Finding the Third Proportional to 281,648 and 424,867

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Solution

The third proportional to 281,648 and 424,867 is: 640,913.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,648 : 424,867 = 424,867 : x
  2. Step 2: Convert to fraction form
    281,648/424,867 = 424,867/x
  3. Step 3: Cross multiply
    281,648x = 424,867 × 424,867
  4. Step 4: Simplify right side
    281,648x = 180,511,967,689
  5. Step 5: Solve for x
    x = 180,511,967,689/281,648
  6. Step 6: Final answer
    x = 640,913.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.