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Finding the Third Proportional to 252,826 and 541,636

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Solution

The third proportional to 252,826 and 541,636 is: 1,160,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,826 : 541,636 = 541,636 : x
  2. Step 2: Convert to fraction form
    252,826/541,636 = 541,636/x
  3. Step 3: Cross multiply
    252,826x = 541,636 × 541,636
  4. Step 4: Simplify right side
    252,826x = 293,369,556,496
  5. Step 5: Solve for x
    x = 293,369,556,496/252,826
  6. Step 6: Final answer
    x = 1,160,361.50

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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.