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Finding the Third Proportional to 264,849 and 579,214

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Solution

The third proportional to 264,849 and 579,214 is: 1,266,717.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,849 : 579,214 = 579,214 : x
  2. Step 2: Convert to fraction form
    264,849/579,214 = 579,214/x
  3. Step 3: Cross multiply
    264,849x = 579,214 × 579,214
  4. Step 4: Simplify right side
    264,849x = 335,488,857,796
  5. Step 5: Solve for x
    x = 335,488,857,796/264,849
  6. Step 6: Final answer
    x = 1,266,717.48

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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.