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Finding the Third Proportional to 297,841.50 and 449,509.50

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Solution

The third proportional to 297,841.50 and 449,509.50 is: 678,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,841.50 : 449,509.50 = 449,509.50 : x
  2. Step 2: Convert to fraction form
    297,841.50/449,509.50 = 449,509.50/x
  3. Step 3: Cross multiply
    297,841.50x = 449,509.50 × 449,509.50
  4. Step 4: Simplify right side
    297,841.50x = 202,058,790,590.25
  5. Step 5: Solve for x
    x = 202,058,790,590.25/297,841.50
  6. Step 6: Final answer
    x = 678,410.47

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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.