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Finding the Third Proportional to 321,946 and 437,245

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Solution

The third proportional to 321,946 and 437,245 is: 593,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,946 : 437,245 = 437,245 : x
  2. Step 2: Convert to fraction form
    321,946/437,245 = 437,245/x
  3. Step 3: Cross multiply
    321,946x = 437,245 × 437,245
  4. Step 4: Simplify right side
    321,946x = 191,183,190,025
  5. Step 5: Solve for x
    x = 191,183,190,025/321,946
  6. Step 6: Final answer
    x = 593,836.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.