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Finding the Third Proportional to 234,194 and 513,907

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Solution

The third proportional to 234,194 and 513,907 is: 1,127,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,194 : 513,907 = 513,907 : x
  2. Step 2: Convert to fraction form
    234,194/513,907 = 513,907/x
  3. Step 3: Cross multiply
    234,194x = 513,907 × 513,907
  4. Step 4: Simplify right side
    234,194x = 264,100,404,649
  5. Step 5: Solve for x
    x = 264,100,404,649/234,194
  6. Step 6: Final answer
    x = 1,127,699.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.