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Finding the Third Proportional to 324,546 and 706,242

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Solution

The third proportional to 324,546 and 706,242 is: 1,536,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,546 : 706,242 = 706,242 : x
  2. Step 2: Convert to fraction form
    324,546/706,242 = 706,242/x
  3. Step 3: Cross multiply
    324,546x = 706,242 × 706,242
  4. Step 4: Simplify right side
    324,546x = 498,777,762,564
  5. Step 5: Solve for x
    x = 498,777,762,564/324,546
  6. Step 6: Final answer
    x = 1,536,847.67

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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.