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Finding the Third Proportional to 275,656 and 444,084

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Solution

The third proportional to 275,656 and 444,084 is: 715,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,656 : 444,084 = 444,084 : x
  2. Step 2: Convert to fraction form
    275,656/444,084 = 444,084/x
  3. Step 3: Cross multiply
    275,656x = 444,084 × 444,084
  4. Step 4: Simplify right side
    275,656x = 197,210,599,056
  5. Step 5: Solve for x
    x = 197,210,599,056/275,656
  6. Step 6: Final answer
    x = 715,422.84

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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.