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Finding the Third Proportional to 204,818 and 445,586

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Solution

The third proportional to 204,818 and 445,586 is: 969,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,818 : 445,586 = 445,586 : x
  2. Step 2: Convert to fraction form
    204,818/445,586 = 445,586/x
  3. Step 3: Cross multiply
    204,818x = 445,586 × 445,586
  4. Step 4: Simplify right side
    204,818x = 198,546,883,396
  5. Step 5: Solve for x
    x = 198,546,883,396/204,818
  6. Step 6: Final answer
    x = 969,382.00

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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.