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Finding the Third Proportional to 207,362 and 409,848

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Solution

The third proportional to 207,362 and 409,848 is: 810,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,362 : 409,848 = 409,848 : x
  2. Step 2: Convert to fraction form
    207,362/409,848 = 409,848/x
  3. Step 3: Cross multiply
    207,362x = 409,848 × 409,848
  4. Step 4: Simplify right side
    207,362x = 167,975,383,104
  5. Step 5: Solve for x
    x = 167,975,383,104/207,362
  6. Step 6: Final answer
    x = 810,058.66

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.