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Finding the Third Proportional to 222,786 and 468,900

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Solution

The third proportional to 222,786 and 468,900 is: 986,898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,786 : 468,900 = 468,900 : x
  2. Step 2: Convert to fraction form
    222,786/468,900 = 468,900/x
  3. Step 3: Cross multiply
    222,786x = 468,900 × 468,900
  4. Step 4: Simplify right side
    222,786x = 219,867,210,000
  5. Step 5: Solve for x
    x = 219,867,210,000/222,786
  6. Step 6: Final answer
    x = 986,898.68

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.