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Finding the Third Proportional to 226,597.50 and 529,231.50

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Solution

The third proportional to 226,597.50 and 529,231.50 is: 1,236,050.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,597.50 : 529,231.50 = 529,231.50 : x
  2. Step 2: Convert to fraction form
    226,597.50/529,231.50 = 529,231.50/x
  3. Step 3: Cross multiply
    226,597.50x = 529,231.50 × 529,231.50
  4. Step 4: Simplify right side
    226,597.50x = 280,085,980,592.25
  5. Step 5: Solve for x
    x = 280,085,980,592.25/226,597.50
  6. Step 6: Final answer
    x = 1,236,050.62

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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.