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Finding the Third Proportional to 247,367 and 529,714

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Solution

The third proportional to 247,367 and 529,714 is: 1,134,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,367 : 529,714 = 529,714 : x
  2. Step 2: Convert to fraction form
    247,367/529,714 = 529,714/x
  3. Step 3: Cross multiply
    247,367x = 529,714 × 529,714
  4. Step 4: Simplify right side
    247,367x = 280,596,921,796
  5. Step 5: Solve for x
    x = 280,596,921,796/247,367
  6. Step 6: Final answer
    x = 1,134,334.50

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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.