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Finding the Third Proportional to 354,948 and 770,100

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Solution

The third proportional to 354,948 and 770,100 is: 1,670,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,948 : 770,100 = 770,100 : x
  2. Step 2: Convert to fraction form
    354,948/770,100 = 770,100/x
  3. Step 3: Cross multiply
    354,948x = 770,100 × 770,100
  4. Step 4: Simplify right side
    354,948x = 593,054,010,000
  5. Step 5: Solve for x
    x = 593,054,010,000/354,948
  6. Step 6: Final answer
    x = 1,670,819.42

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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.