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Finding the Third Proportional to 207,874.63 and 449,013.25

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Solution

The third proportional to 207,874.63 and 449,013.25 is: 969,877.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,874.63 : 449,013.25 = 449,013.25 : x
  2. Step 2: Convert to fraction form
    207,874.63/449,013.25 = 449,013.25/x
  3. Step 3: Cross multiply
    207,874.63x = 449,013.25 × 449,013.25
  4. Step 4: Simplify right side
    207,874.63x = 201,612,898,675.56
  5. Step 5: Solve for x
    x = 201,612,898,675.56/207,874.63
  6. Step 6: Final answer
    x = 969,877.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.