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Finding the Third Proportional to 297,891.75 and 449,618.25

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Solution

The third proportional to 297,891.75 and 449,618.25 is: 678,624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,891.75 : 449,618.25 = 449,618.25 : x
  2. Step 2: Convert to fraction form
    297,891.75/449,618.25 = 449,618.25/x
  3. Step 3: Cross multiply
    297,891.75x = 449,618.25 × 449,618.25
  4. Step 4: Simplify right side
    297,891.75x = 202,156,570,733.06
  5. Step 5: Solve for x
    x = 202,156,570,733.06/297,891.75
  6. Step 6: Final answer
    x = 678,624.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.