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Finding the Third Proportional to 294,955 and 444,848

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Solution

The third proportional to 294,955 and 444,848 is: 670,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,955 : 444,848 = 444,848 : x
  2. Step 2: Convert to fraction form
    294,955/444,848 = 444,848/x
  3. Step 3: Cross multiply
    294,955x = 444,848 × 444,848
  4. Step 4: Simplify right side
    294,955x = 197,889,743,104
  5. Step 5: Solve for x
    x = 197,889,743,104/294,955
  6. Step 6: Final answer
    x = 670,915.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.