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Finding the Third Proportional to 219,816 and 470,736

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Solution

The third proportional to 219,816 and 470,736 is: 1,008,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,816 : 470,736 = 470,736 : x
  2. Step 2: Convert to fraction form
    219,816/470,736 = 470,736/x
  3. Step 3: Cross multiply
    219,816x = 470,736 × 470,736
  4. Step 4: Simplify right side
    219,816x = 221,592,381,696
  5. Step 5: Solve for x
    x = 221,592,381,696/219,816
  6. Step 6: Final answer
    x = 1,008,081.22

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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.