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Finding the Third Proportional to 303,110 and 470,622

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Solution

The third proportional to 303,110 and 470,622 is: 730,708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,110 : 470,622 = 470,622 : x
  2. Step 2: Convert to fraction form
    303,110/470,622 = 470,622/x
  3. Step 3: Cross multiply
    303,110x = 470,622 × 470,622
  4. Step 4: Simplify right side
    303,110x = 221,485,066,884
  5. Step 5: Solve for x
    x = 221,485,066,884/303,110
  6. Step 6: Final answer
    x = 730,708.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.