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Finding the Third Proportional to 367,829.44 and 793,706.34

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Solution

The third proportional to 367,829.44 and 793,706.34 is: 1,712,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,829.44 : 793,706.34 = 793,706.34 : x
  2. Step 2: Convert to fraction form
    367,829.44/793,706.34 = 793,706.34/x
  3. Step 3: Cross multiply
    367,829.44x = 793,706.34 × 793,706.34
  4. Step 4: Simplify right side
    367,829.44x = 629,969,760,108.99
  5. Step 5: Solve for x
    x = 629,969,760,108.99/367,829.44
  6. Step 6: Final answer
    x = 1,712,668.14

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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.