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Finding the Third Proportional to 273,258 and 560,016

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Solution

The third proportional to 273,258 and 560,016 is: 1,147,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,258 : 560,016 = 560,016 : x
  2. Step 2: Convert to fraction form
    273,258/560,016 = 560,016/x
  3. Step 3: Cross multiply
    273,258x = 560,016 × 560,016
  4. Step 4: Simplify right side
    273,258x = 313,617,920,256
  5. Step 5: Solve for x
    x = 313,617,920,256/273,258
  6. Step 6: Final answer
    x = 1,147,698.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.