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Finding the Third Proportional to 263,376 and 579,264

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Solution

The third proportional to 263,376 and 579,264 is: 1,274,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,376 : 579,264 = 579,264 : x
  2. Step 2: Convert to fraction form
    263,376/579,264 = 579,264/x
  3. Step 3: Cross multiply
    263,376x = 579,264 × 579,264
  4. Step 4: Simplify right side
    263,376x = 335,546,781,696
  5. Step 5: Solve for x
    x = 335,546,781,696/263,376
  6. Step 6: Final answer
    x = 1,274,021.86

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