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Finding the Third Proportional to 367,388 and 519,996

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Solution

The third proportional to 367,388 and 519,996 is: 735,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,388 : 519,996 = 519,996 : x
  2. Step 2: Convert to fraction form
    367,388/519,996 = 519,996/x
  3. Step 3: Cross multiply
    367,388x = 519,996 × 519,996
  4. Step 4: Simplify right side
    367,388x = 270,395,840,016
  5. Step 5: Solve for x
    x = 270,395,840,016/367,388
  6. Step 6: Final answer
    x = 735,995.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.