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Finding the Third Proportional to 247,276 and 529,544

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Solution

The third proportional to 247,276 and 529,544 is: 1,134,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,276 : 529,544 = 529,544 : x
  2. Step 2: Convert to fraction form
    247,276/529,544 = 529,544/x
  3. Step 3: Cross multiply
    247,276x = 529,544 × 529,544
  4. Step 4: Simplify right side
    247,276x = 280,416,847,936
  5. Step 5: Solve for x
    x = 280,416,847,936/247,276
  6. Step 6: Final answer
    x = 1,134,023.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.