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Finding the Third Proportional to 306,520 and 668,212

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Solution

The third proportional to 306,520 and 668,212 is: 1,456,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,520 : 668,212 = 668,212 : x
  2. Step 2: Convert to fraction form
    306,520/668,212 = 668,212/x
  3. Step 3: Cross multiply
    306,520x = 668,212 × 668,212
  4. Step 4: Simplify right side
    306,520x = 446,507,276,944
  5. Step 5: Solve for x
    x = 446,507,276,944/306,520
  6. Step 6: Final answer
    x = 1,456,698.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.