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Finding the Third Proportional to 227,231 and 492,071

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Solution

The third proportional to 227,231 and 492,071 is: 1,065,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,231 : 492,071 = 492,071 : x
  2. Step 2: Convert to fraction form
    227,231/492,071 = 492,071/x
  3. Step 3: Cross multiply
    227,231x = 492,071 × 492,071
  4. Step 4: Simplify right side
    227,231x = 242,133,869,041
  5. Step 5: Solve for x
    x = 242,133,869,041/227,231
  6. Step 6: Final answer
    x = 1,065,584.67

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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.