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Finding the Third Proportional to 277,105 and 446,258

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Solution

The third proportional to 277,105 and 446,258 is: 718,666.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,105 : 446,258 = 446,258 : x
  2. Step 2: Convert to fraction form
    277,105/446,258 = 446,258/x
  3. Step 3: Cross multiply
    277,105x = 446,258 × 446,258
  4. Step 4: Simplify right side
    277,105x = 199,146,202,564
  5. Step 5: Solve for x
    x = 199,146,202,564/277,105
  6. Step 6: Final answer
    x = 718,666.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.