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Finding the Third Proportional to 228,964 and 336,823

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Solution

The third proportional to 228,964 and 336,823 is: 495,491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,964 : 336,823 = 336,823 : x
  2. Step 2: Convert to fraction form
    228,964/336,823 = 336,823/x
  3. Step 3: Cross multiply
    228,964x = 336,823 × 336,823
  4. Step 4: Simplify right side
    228,964x = 113,449,733,329
  5. Step 5: Solve for x
    x = 113,449,733,329/228,964
  6. Step 6: Final answer
    x = 495,491.58

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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.