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Finding the Third Proportional to 226,688 and 498,112

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Solution

The third proportional to 226,688 and 498,112 is: 1,094,524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,688 : 498,112 = 498,112 : x
  2. Step 2: Convert to fraction form
    226,688/498,112 = 498,112/x
  3. Step 3: Cross multiply
    226,688x = 498,112 × 498,112
  4. Step 4: Simplify right side
    226,688x = 248,115,564,544
  5. Step 5: Solve for x
    x = 248,115,564,544/226,688
  6. Step 6: Final answer
    x = 1,094,524.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.