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Finding the Third Proportional to 263,763 and 581,310

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Solution

The third proportional to 263,763 and 581,310 is: 1,281,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,763 : 581,310 = 581,310 : x
  2. Step 2: Convert to fraction form
    263,763/581,310 = 581,310/x
  3. Step 3: Cross multiply
    263,763x = 581,310 × 581,310
  4. Step 4: Simplify right side
    263,763x = 337,921,316,100
  5. Step 5: Solve for x
    x = 337,921,316,100/263,763
  6. Step 6: Final answer
    x = 1,281,155.11

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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.