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Finding the Third Proportional to 298,183.78 and 621,518.06

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Solution

The third proportional to 298,183.78 and 621,518.06 is: 1,295,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,183.78 : 621,518.06 = 621,518.06 : x
  2. Step 2: Convert to fraction form
    298,183.78/621,518.06 = 621,518.06/x
  3. Step 3: Cross multiply
    298,183.78x = 621,518.06 × 621,518.06
  4. Step 4: Simplify right side
    298,183.78x = 386,284,702,013.75
  5. Step 5: Solve for x
    x = 386,284,702,013.75/298,183.78
  6. Step 6: Final answer
    x = 1,295,458.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.