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Finding the Third Proportional to 293,094 and 638,858

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Solution

The third proportional to 293,094 and 638,858 is: 1,392,520.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,094 : 638,858 = 638,858 : x
  2. Step 2: Convert to fraction form
    293,094/638,858 = 638,858/x
  3. Step 3: Cross multiply
    293,094x = 638,858 × 638,858
  4. Step 4: Simplify right side
    293,094x = 408,139,544,164
  5. Step 5: Solve for x
    x = 408,139,544,164/293,094
  6. Step 6: Final answer
    x = 1,392,520.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.