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Finding the Third Proportional to 267,758 and 579,598

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Solution

The third proportional to 267,758 and 579,598 is: 1,254,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,758 : 579,598 = 579,598 : x
  2. Step 2: Convert to fraction form
    267,758/579,598 = 579,598/x
  3. Step 3: Cross multiply
    267,758x = 579,598 × 579,598
  4. Step 4: Simplify right side
    267,758x = 335,933,841,604
  5. Step 5: Solve for x
    x = 335,933,841,604/267,758
  6. Step 6: Final answer
    x = 1,254,617.38

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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.