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Finding the Third Proportional to 263,682 and 581,148

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Solution

The third proportional to 263,682 and 581,148 is: 1,280,834.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,682 : 581,148 = 581,148 : x
  2. Step 2: Convert to fraction form
    263,682/581,148 = 581,148/x
  3. Step 3: Cross multiply
    263,682x = 581,148 × 581,148
  4. Step 4: Simplify right side
    263,682x = 337,732,997,904
  5. Step 5: Solve for x
    x = 337,732,997,904/263,682
  6. Step 6: Final answer
    x = 1,280,834.48

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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.