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Finding the Third Proportional to 263,076 and 579,774

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Solution

The third proportional to 263,076 and 579,774 is: 1,277,721.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,076 : 579,774 = 579,774 : x
  2. Step 2: Convert to fraction form
    263,076/579,774 = 579,774/x
  3. Step 3: Cross multiply
    263,076x = 579,774 × 579,774
  4. Step 4: Simplify right side
    263,076x = 336,137,891,076
  5. Step 5: Solve for x
    x = 336,137,891,076/263,076
  6. Step 6: Final answer
    x = 1,277,721.61

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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.