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Finding the Third Proportional to 263,584 and 574,892

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Solution

The third proportional to 263,584 and 574,892 is: 1,253,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,584 : 574,892 = 574,892 : x
  2. Step 2: Convert to fraction form
    263,584/574,892 = 574,892/x
  3. Step 3: Cross multiply
    263,584x = 574,892 × 574,892
  4. Step 4: Simplify right side
    263,584x = 330,500,811,664
  5. Step 5: Solve for x
    x = 330,500,811,664/263,584
  6. Step 6: Final answer
    x = 1,253,872.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.