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Finding the Third Proportional to 336,378 and 505,983

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Solution

The third proportional to 336,378 and 505,983 is: 761,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,378 : 505,983 = 505,983 : x
  2. Step 2: Convert to fraction form
    336,378/505,983 = 505,983/x
  3. Step 3: Cross multiply
    336,378x = 505,983 × 505,983
  4. Step 4: Simplify right side
    336,378x = 256,018,796,289
  5. Step 5: Solve for x
    x = 256,018,796,289/336,378
  6. Step 6: Final answer
    x = 761,104.46

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