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Finding the Third Proportional to 354,800 and 550,888

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Solution

The third proportional to 354,800 and 550,888 is: 855,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,800 : 550,888 = 550,888 : x
  2. Step 2: Convert to fraction form
    354,800/550,888 = 550,888/x
  3. Step 3: Cross multiply
    354,800x = 550,888 × 550,888
  4. Step 4: Simplify right side
    354,800x = 303,477,588,544
  5. Step 5: Solve for x
    x = 303,477,588,544/354,800
  6. Step 6: Final answer
    x = 855,348.33

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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.