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Finding the Third Proportional to 298,773 and 699,911.50

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Solution

The third proportional to 298,773 and 699,911.50 is: 1,639,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,773 : 699,911.50 = 699,911.50 : x
  2. Step 2: Convert to fraction form
    298,773/699,911.50 = 699,911.50/x
  3. Step 3: Cross multiply
    298,773x = 699,911.50 × 699,911.50
  4. Step 4: Simplify right side
    298,773x = 489,876,107,832.25
  5. Step 5: Solve for x
    x = 489,876,107,832.25/298,773
  6. Step 6: Final answer
    x = 1,639,626.43

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.