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Finding the Third Proportional to 207,913.50 and 449,013.38

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Solution

The third proportional to 207,913.50 and 449,013.38 is: 969,696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,913.50 : 449,013.38 = 449,013.38 : x
  2. Step 2: Convert to fraction form
    207,913.50/449,013.38 = 449,013.38/x
  3. Step 3: Cross multiply
    207,913.50x = 449,013.38 × 449,013.38
  4. Step 4: Simplify right side
    207,913.50x = 201,613,010,928.89
  5. Step 5: Solve for x
    x = 201,613,010,928.89/207,913.50
  6. Step 6: Final answer
    x = 969,696.59

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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.