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Finding the Third Proportional to 303,358.50 and 449,069

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Solution

The third proportional to 303,358.50 and 449,069 is: 664,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,358.50 : 449,069 = 449,069 : x
  2. Step 2: Convert to fraction form
    303,358.50/449,069 = 449,069/x
  3. Step 3: Cross multiply
    303,358.50x = 449,069 × 449,069
  4. Step 4: Simplify right side
    303,358.50x = 201,662,966,761
  5. Step 5: Solve for x
    x = 201,662,966,761/303,358.50
  6. Step 6: Final answer
    x = 664,767.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.