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Finding the Third Proportional to 364,059 and 757,170

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Solution

The third proportional to 364,059 and 757,170 is: 1,574,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,059 : 757,170 = 757,170 : x
  2. Step 2: Convert to fraction form
    364,059/757,170 = 757,170/x
  3. Step 3: Cross multiply
    364,059x = 757,170 × 757,170
  4. Step 4: Simplify right side
    364,059x = 573,306,408,900
  5. Step 5: Solve for x
    x = 573,306,408,900/364,059
  6. Step 6: Final answer
    x = 1,574,762.36

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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.