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Finding the Third Proportional to 228,450 and 495,035

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Solution

The third proportional to 228,450 and 495,035 is: 1,072,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,450 : 495,035 = 495,035 : x
  2. Step 2: Convert to fraction form
    228,450/495,035 = 495,035/x
  3. Step 3: Cross multiply
    228,450x = 495,035 × 495,035
  4. Step 4: Simplify right side
    228,450x = 245,059,651,225
  5. Step 5: Solve for x
    x = 245,059,651,225/228,450
  6. Step 6: Final answer
    x = 1,072,705.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.