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Finding the Third Proportional to 219,795 and 470,694

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Solution

The third proportional to 219,795 and 470,694 is: 1,007,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,795 : 470,694 = 470,694 : x
  2. Step 2: Convert to fraction form
    219,795/470,694 = 470,694/x
  3. Step 3: Cross multiply
    219,795x = 470,694 × 470,694
  4. Step 4: Simplify right side
    219,795x = 221,552,841,636
  5. Step 5: Solve for x
    x = 221,552,841,636/219,795
  6. Step 6: Final answer
    x = 1,007,997.64

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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.