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Finding the Third Proportional to 449,436.38 and 965,576.25

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Solution

The third proportional to 449,436.38 and 965,576.25 is: 2,074,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,436.38 : 965,576.25 = 965,576.25 : x
  2. Step 2: Convert to fraction form
    449,436.38/965,576.25 = 965,576.25/x
  3. Step 3: Cross multiply
    449,436.38x = 965,576.25 × 965,576.25
  4. Step 4: Simplify right side
    449,436.38x = 932,337,494,564.06
  5. Step 5: Solve for x
    x = 932,337,494,564.06/449,436.38
  6. Step 6: Final answer
    x = 2,074,459.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.