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Finding the Third Proportional to 452,202 and 699,876

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Solution

The third proportional to 452,202 and 699,876 is: 1,083,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,202 : 699,876 = 699,876 : x
  2. Step 2: Convert to fraction form
    452,202/699,876 = 699,876/x
  3. Step 3: Cross multiply
    452,202x = 699,876 × 699,876
  4. Step 4: Simplify right side
    452,202x = 489,826,415,376
  5. Step 5: Solve for x
    x = 489,826,415,376/452,202
  6. Step 6: Final answer
    x = 1,083,202.67

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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.