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Finding the Third Proportional to 263,525 and 579,532

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Solution

The third proportional to 263,525 and 579,532 is: 1,274,479.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,525 : 579,532 = 579,532 : x
  2. Step 2: Convert to fraction form
    263,525/579,532 = 579,532/x
  3. Step 3: Cross multiply
    263,525x = 579,532 × 579,532
  4. Step 4: Simplify right side
    263,525x = 335,857,339,024
  5. Step 5: Solve for x
    x = 335,857,339,024/263,525
  6. Step 6: Final answer
    x = 1,274,479.99

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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.