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Finding the Third Proportional to 263,943 and 580,371

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Solution

The third proportional to 263,943 and 580,371 is: 1,276,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,943 : 580,371 = 580,371 : x
  2. Step 2: Convert to fraction form
    263,943/580,371 = 580,371/x
  3. Step 3: Cross multiply
    263,943x = 580,371 × 580,371
  4. Step 4: Simplify right side
    263,943x = 336,830,497,641
  5. Step 5: Solve for x
    x = 336,830,497,641/263,943
  6. Step 6: Final answer
    x = 1,276,148.63

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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.