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Finding the Third Proportional to 226,533 and 529,072.50

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Solution

The third proportional to 226,533 and 529,072.50 is: 1,235,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,533 : 529,072.50 = 529,072.50 : x
  2. Step 2: Convert to fraction form
    226,533/529,072.50 = 529,072.50/x
  3. Step 3: Cross multiply
    226,533x = 529,072.50 × 529,072.50
  4. Step 4: Simplify right side
    226,533x = 279,917,710,256.25
  5. Step 5: Solve for x
    x = 279,917,710,256.25/226,533
  6. Step 6: Final answer
    x = 1,235,659.75

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