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Finding the Third Proportional to 355,845 and 550,396.50

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Solution

The third proportional to 355,845 and 550,396.50 is: 851,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,845 : 550,396.50 = 550,396.50 : x
  2. Step 2: Convert to fraction form
    355,845/550,396.50 = 550,396.50/x
  3. Step 3: Cross multiply
    355,845x = 550,396.50 × 550,396.50
  4. Step 4: Simplify right side
    355,845x = 302,936,307,212.25
  5. Step 5: Solve for x
    x = 302,936,307,212.25/355,845
  6. Step 6: Final answer
    x = 851,315.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.