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Finding the Third Proportional to 224,770 and 481,526

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Solution

The third proportional to 224,770 and 481,526 is: 1,031,575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,770 : 481,526 = 481,526 : x
  2. Step 2: Convert to fraction form
    224,770/481,526 = 481,526/x
  3. Step 3: Cross multiply
    224,770x = 481,526 × 481,526
  4. Step 4: Simplify right side
    224,770x = 231,867,288,676
  5. Step 5: Solve for x
    x = 231,867,288,676/224,770
  6. Step 6: Final answer
    x = 1,031,575.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.