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Finding the Third Proportional to 264,877 and 579,809

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Solution

The third proportional to 264,877 and 579,809 is: 1,269,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,877 : 579,809 = 579,809 : x
  2. Step 2: Convert to fraction form
    264,877/579,809 = 579,809/x
  3. Step 3: Cross multiply
    264,877x = 579,809 × 579,809
  4. Step 4: Simplify right side
    264,877x = 336,178,476,481
  5. Step 5: Solve for x
    x = 336,178,476,481/264,877
  6. Step 6: Final answer
    x = 1,269,187.12

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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.