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Finding the Third Proportional to 355,770 and 770,589

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Solution

The third proportional to 355,770 and 770,589 is: 1,669,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,770 : 770,589 = 770,589 : x
  2. Step 2: Convert to fraction form
    355,770/770,589 = 770,589/x
  3. Step 3: Cross multiply
    355,770x = 770,589 × 770,589
  4. Step 4: Simplify right side
    355,770x = 593,807,406,921
  5. Step 5: Solve for x
    x = 593,807,406,921/355,770
  6. Step 6: Final answer
    x = 1,669,076.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.