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Finding the Third Proportional to 263,576 and 621,905

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Solution

The third proportional to 263,576 and 621,905 is: 1,467,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,576 : 621,905 = 621,905 : x
  2. Step 2: Convert to fraction form
    263,576/621,905 = 621,905/x
  3. Step 3: Cross multiply
    263,576x = 621,905 × 621,905
  4. Step 4: Simplify right side
    263,576x = 386,765,829,025
  5. Step 5: Solve for x
    x = 386,765,829,025/263,576
  6. Step 6: Final answer
    x = 1,467,378.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.