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Finding the Third Proportional to 395,306 and 770,740

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Solution

The third proportional to 395,306 and 770,740 is: 1,502,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,306 : 770,740 = 770,740 : x
  2. Step 2: Convert to fraction form
    395,306/770,740 = 770,740/x
  3. Step 3: Cross multiply
    395,306x = 770,740 × 770,740
  4. Step 4: Simplify right side
    395,306x = 594,040,147,600
  5. Step 5: Solve for x
    x = 594,040,147,600/395,306
  6. Step 6: Final answer
    x = 1,502,734.96

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.