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Finding the Third Proportional to 222,804 and 512,998

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Solution

The third proportional to 222,804 and 512,998 is: 1,181,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,804 : 512,998 = 512,998 : x
  2. Step 2: Convert to fraction form
    222,804/512,998 = 512,998/x
  3. Step 3: Cross multiply
    222,804x = 512,998 × 512,998
  4. Step 4: Simplify right side
    222,804x = 263,166,948,004
  5. Step 5: Solve for x
    x = 263,166,948,004/222,804
  6. Step 6: Final answer
    x = 1,181,158.99

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.