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Finding the Third Proportional to 219,012 and 470,765

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Solution

The third proportional to 219,012 and 470,765 is: 1,011,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,012 : 470,765 = 470,765 : x
  2. Step 2: Convert to fraction form
    219,012/470,765 = 470,765/x
  3. Step 3: Cross multiply
    219,012x = 470,765 × 470,765
  4. Step 4: Simplify right side
    219,012x = 221,619,685,225
  5. Step 5: Solve for x
    x = 221,619,685,225/219,012
  6. Step 6: Final answer
    x = 1,011,906.59

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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.