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Finding the Third Proportional to 217,227 and 473,072.06

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Solution

The third proportional to 217,227 and 473,072.06 is: 1,030,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,227 : 473,072.06 = 473,072.06 : x
  2. Step 2: Convert to fraction form
    217,227/473,072.06 = 473,072.06/x
  3. Step 3: Cross multiply
    217,227x = 473,072.06 × 473,072.06
  4. Step 4: Simplify right side
    217,227x = 223,797,176,318.00
  5. Step 5: Solve for x
    x = 223,797,176,318.00/217,227
  6. Step 6: Final answer
    x = 1,030,245.67

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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.