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Finding the Third Proportional to 368,343 and 519,914

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Solution

The third proportional to 368,343 and 519,914 is: 733,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,343 : 519,914 = 519,914 : x
  2. Step 2: Convert to fraction form
    368,343/519,914 = 519,914/x
  3. Step 3: Cross multiply
    368,343x = 519,914 × 519,914
  4. Step 4: Simplify right side
    368,343x = 270,310,567,396
  5. Step 5: Solve for x
    x = 270,310,567,396/368,343
  6. Step 6: Final answer
    x = 733,855.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.