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Finding the Third Proportional to 263,778.19 and 545,644.69

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Solution

The third proportional to 263,778.19 and 545,644.69 is: 1,128,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,778.19 : 545,644.69 = 545,644.69 : x
  2. Step 2: Convert to fraction form
    263,778.19/545,644.69 = 545,644.69/x
  3. Step 3: Cross multiply
    263,778.19x = 545,644.69 × 545,644.69
  4. Step 4: Simplify right side
    263,778.19x = 297,728,124,996.97
  5. Step 5: Solve for x
    x = 297,728,124,996.97/263,778.19
  6. Step 6: Final answer
    x = 1,128,706.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.