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Finding the Third Proportional to 267,756 and 579,594

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Solution

The third proportional to 267,756 and 579,594 is: 1,254,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,756 : 579,594 = 579,594 : x
  2. Step 2: Convert to fraction form
    267,756/579,594 = 579,594/x
  3. Step 3: Cross multiply
    267,756x = 579,594 × 579,594
  4. Step 4: Simplify right side
    267,756x = 335,929,204,836
  5. Step 5: Solve for x
    x = 335,929,204,836/267,756
  6. Step 6: Final answer
    x = 1,254,609.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.