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Finding the Third Proportional to 263,540 and 577,867

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Solution

The third proportional to 263,540 and 577,867 is: 1,267,095.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,540 : 577,867 = 577,867 : x
  2. Step 2: Convert to fraction form
    263,540/577,867 = 577,867/x
  3. Step 3: Cross multiply
    263,540x = 577,867 × 577,867
  4. Step 4: Simplify right side
    263,540x = 333,930,269,689
  5. Step 5: Solve for x
    x = 333,930,269,689/263,540
  6. Step 6: Final answer
    x = 1,267,095.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.