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Finding the Third Proportional to 218,646 and 470,844

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Solution

The third proportional to 218,646 and 470,844 is: 1,013,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,646 : 470,844 = 470,844 : x
  2. Step 2: Convert to fraction form
    218,646/470,844 = 470,844/x
  3. Step 3: Cross multiply
    218,646x = 470,844 × 470,844
  4. Step 4: Simplify right side
    218,646x = 221,694,072,336
  5. Step 5: Solve for x
    x = 221,694,072,336/218,646
  6. Step 6: Final answer
    x = 1,013,940.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.