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Finding the Third Proportional to 303,052 and 638,054

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Solution

The third proportional to 303,052 and 638,054 is: 1,343,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,052 : 638,054 = 638,054 : x
  2. Step 2: Convert to fraction form
    303,052/638,054 = 638,054/x
  3. Step 3: Cross multiply
    303,052x = 638,054 × 638,054
  4. Step 4: Simplify right side
    303,052x = 407,112,906,916
  5. Step 5: Solve for x
    x = 407,112,906,916/303,052
  6. Step 6: Final answer
    x = 1,343,376.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.