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Finding the Third Proportional to 295,054 and 446,103

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Solution

The third proportional to 295,054 and 446,103 is: 674,479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,054 : 446,103 = 446,103 : x
  2. Step 2: Convert to fraction form
    295,054/446,103 = 446,103/x
  3. Step 3: Cross multiply
    295,054x = 446,103 × 446,103
  4. Step 4: Simplify right side
    295,054x = 199,007,886,609
  5. Step 5: Solve for x
    x = 199,007,886,609/295,054
  6. Step 6: Final answer
    x = 674,479.54

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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.