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Finding the Third Proportional to 311,052 and 449,592

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Solution

The third proportional to 311,052 and 449,592 is: 649,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,052 : 449,592 = 449,592 : x
  2. Step 2: Convert to fraction form
    311,052/449,592 = 449,592/x
  3. Step 3: Cross multiply
    311,052x = 449,592 × 449,592
  4. Step 4: Simplify right side
    311,052x = 202,132,966,464
  5. Step 5: Solve for x
    x = 202,132,966,464/311,052
  6. Step 6: Final answer
    x = 649,836.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.