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Finding the Third Proportional to 218,697 and 470,925

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Solution

The third proportional to 218,697 and 470,925 is: 1,014,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,697 : 470,925 = 470,925 : x
  2. Step 2: Convert to fraction form
    218,697/470,925 = 470,925/x
  3. Step 3: Cross multiply
    218,697x = 470,925 × 470,925
  4. Step 4: Simplify right side
    218,697x = 221,770,355,625
  5. Step 5: Solve for x
    x = 221,770,355,625/218,697
  6. Step 6: Final answer
    x = 1,014,053.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.