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Finding the Third Proportional to 289,493 and 637,884

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Solution

The third proportional to 289,493 and 637,884 is: 1,405,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,493 : 637,884 = 637,884 : x
  2. Step 2: Convert to fraction form
    289,493/637,884 = 637,884/x
  3. Step 3: Cross multiply
    289,493x = 637,884 × 637,884
  4. Step 4: Simplify right side
    289,493x = 406,895,997,456
  5. Step 5: Solve for x
    x = 406,895,997,456/289,493
  6. Step 6: Final answer
    x = 1,405,546.93

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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.