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Finding the Third Proportional to 263,684 and 581,152

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Solution

The third proportional to 263,684 and 581,152 is: 1,280,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,684 : 581,152 = 581,152 : x
  2. Step 2: Convert to fraction form
    263,684/581,152 = 581,152/x
  3. Step 3: Cross multiply
    263,684x = 581,152 × 581,152
  4. Step 4: Simplify right side
    263,684x = 337,737,647,104
  5. Step 5: Solve for x
    x = 337,737,647,104/263,684
  6. Step 6: Final answer
    x = 1,280,842.40

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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.