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Finding the Third Proportional to 228,963 and 336,588.75

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Solution

The third proportional to 228,963 and 336,588.75 is: 494,804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,963 : 336,588.75 = 336,588.75 : x
  2. Step 2: Convert to fraction form
    228,963/336,588.75 = 336,588.75/x
  3. Step 3: Cross multiply
    228,963x = 336,588.75 × 336,588.75
  4. Step 4: Simplify right side
    228,963x = 113,291,986,626.56
  5. Step 5: Solve for x
    x = 113,291,986,626.56/228,963
  6. Step 6: Final answer
    x = 494,804.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.