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Finding the Third Proportional to 263,686 and 581,156

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Solution

The third proportional to 263,686 and 581,156 is: 1,280,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,686 : 581,156 = 581,156 : x
  2. Step 2: Convert to fraction form
    263,686/581,156 = 581,156/x
  3. Step 3: Cross multiply
    263,686x = 581,156 × 581,156
  4. Step 4: Simplify right side
    263,686x = 337,742,296,336
  5. Step 5: Solve for x
    x = 337,742,296,336/263,686
  6. Step 6: Final answer
    x = 1,280,850.32

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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.