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Finding the Third Proportional to 219,832 and 470,764

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Solution

The third proportional to 219,832 and 470,764 is: 1,008,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,832 : 470,764 = 470,764 : x
  2. Step 2: Convert to fraction form
    219,832/470,764 = 470,764/x
  3. Step 3: Cross multiply
    219,832x = 470,764 × 470,764
  4. Step 4: Simplify right side
    219,832x = 221,618,743,696
  5. Step 5: Solve for x
    x = 221,618,743,696/219,832
  6. Step 6: Final answer
    x = 1,008,127.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.