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Finding the Third Proportional to 222,866 and 470,332

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Solution

The third proportional to 222,866 and 470,332 is: 992,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,866 : 470,332 = 470,332 : x
  2. Step 2: Convert to fraction form
    222,866/470,332 = 470,332/x
  3. Step 3: Cross multiply
    222,866x = 470,332 × 470,332
  4. Step 4: Simplify right side
    222,866x = 221,212,190,224
  5. Step 5: Solve for x
    x = 221,212,190,224/222,866
  6. Step 6: Final answer
    x = 992,579.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.