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Finding the Third Proportional to 227,163 and 495,582

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Solution

The third proportional to 227,163 and 495,582 is: 1,081,168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,163 : 495,582 = 495,582 : x
  2. Step 2: Convert to fraction form
    227,163/495,582 = 495,582/x
  3. Step 3: Cross multiply
    227,163x = 495,582 × 495,582
  4. Step 4: Simplify right side
    227,163x = 245,601,518,724
  5. Step 5: Solve for x
    x = 245,601,518,724/227,163
  6. Step 6: Final answer
    x = 1,081,168.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.