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Finding the Third Proportional to 228,966 and 336,826

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Solution

The third proportional to 228,966 and 336,826 is: 495,496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,966 : 336,826 = 336,826 : x
  2. Step 2: Convert to fraction form
    228,966/336,826 = 336,826/x
  3. Step 3: Cross multiply
    228,966x = 336,826 × 336,826
  4. Step 4: Simplify right side
    228,966x = 113,451,754,276
  5. Step 5: Solve for x
    x = 113,451,754,276/228,966
  6. Step 6: Final answer
    x = 495,496.07

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