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Finding the Third Proportional to 246,224 and 529,230

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Solution

The third proportional to 246,224 and 529,230 is: 1,137,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,224 : 529,230 = 529,230 : x
  2. Step 2: Convert to fraction form
    246,224/529,230 = 529,230/x
  3. Step 3: Cross multiply
    246,224x = 529,230 × 529,230
  4. Step 4: Simplify right side
    246,224x = 280,084,392,900
  5. Step 5: Solve for x
    x = 280,084,392,900/246,224
  6. Step 6: Final answer
    x = 1,137,518.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.