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Finding the Third Proportional to 227,112 and 492,859

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Solution

The third proportional to 227,112 and 492,859 is: 1,069,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,112 : 492,859 = 492,859 : x
  2. Step 2: Convert to fraction form
    227,112/492,859 = 492,859/x
  3. Step 3: Cross multiply
    227,112x = 492,859 × 492,859
  4. Step 4: Simplify right side
    227,112x = 242,909,993,881
  5. Step 5: Solve for x
    x = 242,909,993,881/227,112
  6. Step 6: Final answer
    x = 1,069,560.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.