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Finding the Third Proportional to 227,299 and 478,562

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Solution

The third proportional to 227,299 and 478,562 is: 1,007,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,299 : 478,562 = 478,562 : x
  2. Step 2: Convert to fraction form
    227,299/478,562 = 478,562/x
  3. Step 3: Cross multiply
    227,299x = 478,562 × 478,562
  4. Step 4: Simplify right side
    227,299x = 229,021,587,844
  5. Step 5: Solve for x
    x = 229,021,587,844/227,299
  6. Step 6: Final answer
    x = 1,007,578.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.