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Finding the Third Proportional to 227,784 and 347,292

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Solution

The third proportional to 227,784 and 347,292 is: 529,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,784 : 347,292 = 347,292 : x
  2. Step 2: Convert to fraction form
    227,784/347,292 = 347,292/x
  3. Step 3: Cross multiply
    227,784x = 347,292 × 347,292
  4. Step 4: Simplify right side
    227,784x = 120,611,733,264
  5. Step 5: Solve for x
    x = 120,611,733,264/227,784
  6. Step 6: Final answer
    x = 529,500.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.