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Finding the Third Proportional to 319,399 and 444,099

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Solution

The third proportional to 319,399 and 444,099 is: 617,484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,399 : 444,099 = 444,099 : x
  2. Step 2: Convert to fraction form
    319,399/444,099 = 444,099/x
  3. Step 3: Cross multiply
    319,399x = 444,099 × 444,099
  4. Step 4: Simplify right side
    319,399x = 197,223,921,801
  5. Step 5: Solve for x
    x = 197,223,921,801/319,399
  6. Step 6: Final answer
    x = 617,484.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.