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Finding the Third Proportional to 338,024 and 505,983

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Solution

The third proportional to 338,024 and 505,983 is: 757,398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,024 : 505,983 = 505,983 : x
  2. Step 2: Convert to fraction form
    338,024/505,983 = 505,983/x
  3. Step 3: Cross multiply
    338,024x = 505,983 × 505,983
  4. Step 4: Simplify right side
    338,024x = 256,018,796,289
  5. Step 5: Solve for x
    x = 256,018,796,289/338,024
  6. Step 6: Final answer
    x = 757,398.28

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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.