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Finding the Third Proportional to 247,216.50 and 529,425

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Solution

The third proportional to 247,216.50 and 529,425 is: 1,133,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,216.50 : 529,425 = 529,425 : x
  2. Step 2: Convert to fraction form
    247,216.50/529,425 = 529,425/x
  3. Step 3: Cross multiply
    247,216.50x = 529,425 × 529,425
  4. Step 4: Simplify right side
    247,216.50x = 280,290,830,625
  5. Step 5: Solve for x
    x = 280,290,830,625/247,216.50
  6. Step 6: Final answer
    x = 1,133,786.91

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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.