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Finding the Third Proportional to 408,044 and 613,634

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Solution

The third proportional to 408,044 and 613,634 is: 922,809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,044 : 613,634 = 613,634 : x
  2. Step 2: Convert to fraction form
    408,044/613,634 = 613,634/x
  3. Step 3: Cross multiply
    408,044x = 613,634 × 613,634
  4. Step 4: Simplify right side
    408,044x = 376,546,685,956
  5. Step 5: Solve for x
    x = 376,546,685,956/408,044
  6. Step 6: Final answer
    x = 922,809.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.