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Finding the Third Proportional to 267,694 and 579,488

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Solution

The third proportional to 267,694 and 579,488 is: 1,254,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,694 : 579,488 = 579,488 : x
  2. Step 2: Convert to fraction form
    267,694/579,488 = 579,488/x
  3. Step 3: Cross multiply
    267,694x = 579,488 × 579,488
  4. Step 4: Simplify right side
    267,694x = 335,806,342,144
  5. Step 5: Solve for x
    x = 335,806,342,144/267,694
  6. Step 6: Final answer
    x = 1,254,441.05

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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.