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Finding the Third Proportional to 208,227 and 463,038

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Solution

The third proportional to 208,227 and 463,038 is: 1,029,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,227 : 463,038 = 463,038 : x
  2. Step 2: Convert to fraction form
    208,227/463,038 = 463,038/x
  3. Step 3: Cross multiply
    208,227x = 463,038 × 463,038
  4. Step 4: Simplify right side
    208,227x = 214,404,189,444
  5. Step 5: Solve for x
    x = 214,404,189,444/208,227
  6. Step 6: Final answer
    x = 1,029,665.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.