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Finding the Third Proportional to 297,826.88 and 449,485.88

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Solution

The third proportional to 297,826.88 and 449,485.88 is: 678,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,826.88 : 449,485.88 = 449,485.88 : x
  2. Step 2: Convert to fraction form
    297,826.88/449,485.88 = 449,485.88/x
  3. Step 3: Cross multiply
    297,826.88x = 449,485.88 × 449,485.88
  4. Step 4: Simplify right side
    297,826.88x = 202,037,551,824.52
  5. Step 5: Solve for x
    x = 202,037,551,824.52/297,826.88
  6. Step 6: Final answer
    x = 678,372.47

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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.