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Finding the Third Proportional to 263,068 and 579,757

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Solution

The third proportional to 263,068 and 579,757 is: 1,277,685.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,068 : 579,757 = 579,757 : x
  2. Step 2: Convert to fraction form
    263,068/579,757 = 579,757/x
  3. Step 3: Cross multiply
    263,068x = 579,757 × 579,757
  4. Step 4: Simplify right side
    263,068x = 336,118,179,049
  5. Step 5: Solve for x
    x = 336,118,179,049/263,068
  6. Step 6: Final answer
    x = 1,277,685.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.