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Finding the Third Proportional to 295,048 and 446,094

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Solution

The third proportional to 295,048 and 446,094 is: 674,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,048 : 446,094 = 446,094 : x
  2. Step 2: Convert to fraction form
    295,048/446,094 = 446,094/x
  3. Step 3: Cross multiply
    295,048x = 446,094 × 446,094
  4. Step 4: Simplify right side
    295,048x = 198,999,856,836
  5. Step 5: Solve for x
    x = 198,999,856,836/295,048
  6. Step 6: Final answer
    x = 674,466.04

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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.