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Finding the Third Proportional to 277,088 and 606,016

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Solution

The third proportional to 277,088 and 606,016 is: 1,325,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,088 : 606,016 = 606,016 : x
  2. Step 2: Convert to fraction form
    277,088/606,016 = 606,016/x
  3. Step 3: Cross multiply
    277,088x = 606,016 × 606,016
  4. Step 4: Simplify right side
    277,088x = 367,255,392,256
  5. Step 5: Solve for x
    x = 367,255,392,256/277,088
  6. Step 6: Final answer
    x = 1,325,410.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.