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Finding the Third Proportional to 224,089 and 490,134

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Solution

The third proportional to 224,089 and 490,134 is: 1,072,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,089 : 490,134 = 490,134 : x
  2. Step 2: Convert to fraction form
    224,089/490,134 = 490,134/x
  3. Step 3: Cross multiply
    224,089x = 490,134 × 490,134
  4. Step 4: Simplify right side
    224,089x = 240,231,337,956
  5. Step 5: Solve for x
    x = 240,231,337,956/224,089
  6. Step 6: Final answer
    x = 1,072,035.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.