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Finding the Third Proportional to 274,698 and 570,450

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Solution

The third proportional to 274,698 and 570,450 is: 1,184,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,698 : 570,450 = 570,450 : x
  2. Step 2: Convert to fraction form
    274,698/570,450 = 570,450/x
  3. Step 3: Cross multiply
    274,698x = 570,450 × 570,450
  4. Step 4: Simplify right side
    274,698x = 325,413,202,500
  5. Step 5: Solve for x
    x = 325,413,202,500/274,698
  6. Step 6: Final answer
    x = 1,184,621.67

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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.