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Finding the Third Proportional to 336,869 and 505,303

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Solution

The third proportional to 336,869 and 505,303 is: 757,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,869 : 505,303 = 505,303 : x
  2. Step 2: Convert to fraction form
    336,869/505,303 = 505,303/x
  3. Step 3: Cross multiply
    336,869x = 505,303 × 505,303
  4. Step 4: Simplify right side
    336,869x = 255,331,121,809
  5. Step 5: Solve for x
    x = 255,331,121,809/336,869
  6. Step 6: Final answer
    x = 757,953.75

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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.