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Finding the Third Proportional to 263,614 and 579,708

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Solution

The third proportional to 263,614 and 579,708 is: 1,274,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,614 : 579,708 = 579,708 : x
  2. Step 2: Convert to fraction form
    263,614/579,708 = 579,708/x
  3. Step 3: Cross multiply
    263,614x = 579,708 × 579,708
  4. Step 4: Simplify right side
    263,614x = 336,061,365,264
  5. Step 5: Solve for x
    x = 336,061,365,264/263,614
  6. Step 6: Final answer
    x = 1,274,823.66

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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.