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Finding the Third Proportional to 263,735 and 581,254

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Solution

The third proportional to 263,735 and 581,254 is: 1,281,044.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,735 : 581,254 = 581,254 : x
  2. Step 2: Convert to fraction form
    263,735/581,254 = 581,254/x
  3. Step 3: Cross multiply
    263,735x = 581,254 × 581,254
  4. Step 4: Simplify right side
    263,735x = 337,856,212,516
  5. Step 5: Solve for x
    x = 337,856,212,516/263,735
  6. Step 6: Final answer
    x = 1,281,044.28

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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.