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Finding the Third Proportional to 263,730 and 581,244

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Solution

The third proportional to 263,730 and 581,244 is: 1,281,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,730 : 581,244 = 581,244 : x
  2. Step 2: Convert to fraction form
    263,730/581,244 = 581,244/x
  3. Step 3: Cross multiply
    263,730x = 581,244 × 581,244
  4. Step 4: Simplify right side
    263,730x = 337,844,587,536
  5. Step 5: Solve for x
    x = 337,844,587,536/263,730
  6. Step 6: Final answer
    x = 1,281,024.49

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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.