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Finding the Third Proportional to 263,742 and 581,268

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Solution

The third proportional to 263,742 and 581,268 is: 1,281,071.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,742 : 581,268 = 581,268 : x
  2. Step 2: Convert to fraction form
    263,742/581,268 = 581,268/x
  3. Step 3: Cross multiply
    263,742x = 581,268 × 581,268
  4. Step 4: Simplify right side
    263,742x = 337,872,487,824
  5. Step 5: Solve for x
    x = 337,872,487,824/263,742
  6. Step 6: Final answer
    x = 1,281,071.99

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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.