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Finding the Third Proportional to 452,162.25 and 699,826.50

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Solution

The third proportional to 452,162.25 and 699,826.50 is: 1,083,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,162.25 : 699,826.50 = 699,826.50 : x
  2. Step 2: Convert to fraction form
    452,162.25/699,826.50 = 699,826.50/x
  3. Step 3: Cross multiply
    452,162.25x = 699,826.50 × 699,826.50
  4. Step 4: Simplify right side
    452,162.25x = 489,757,130,102.25
  5. Step 5: Solve for x
    x = 489,757,130,102.25/452,162.25
  6. Step 6: Final answer
    x = 1,083,144.67

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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.