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Finding the Third Proportional to 234,636 and 511,176

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Solution

The third proportional to 234,636 and 511,176 is: 1,113,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,636 : 511,176 = 511,176 : x
  2. Step 2: Convert to fraction form
    234,636/511,176 = 511,176/x
  3. Step 3: Cross multiply
    234,636x = 511,176 × 511,176
  4. Step 4: Simplify right side
    234,636x = 261,300,902,976
  5. Step 5: Solve for x
    x = 261,300,902,976/234,636
  6. Step 6: Final answer
    x = 1,113,643.70

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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.