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Finding the Third Proportional to 226,535 and 529,077

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Solution

The third proportional to 226,535 and 529,077 is: 1,235,669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,535 : 529,077 = 529,077 : x
  2. Step 2: Convert to fraction form
    226,535/529,077 = 529,077/x
  3. Step 3: Cross multiply
    226,535x = 529,077 × 529,077
  4. Step 4: Simplify right side
    226,535x = 279,922,471,929
  5. Step 5: Solve for x
    x = 279,922,471,929/226,535
  6. Step 6: Final answer
    x = 1,235,669.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.