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Finding the Third Proportional to 204,528 and 446,244

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Solution

The third proportional to 204,528 and 446,244 is: 973,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,528 : 446,244 = 446,244 : x
  2. Step 2: Convert to fraction form
    204,528/446,244 = 446,244/x
  3. Step 3: Cross multiply
    204,528x = 446,244 × 446,244
  4. Step 4: Simplify right side
    204,528x = 199,133,707,536
  5. Step 5: Solve for x
    x = 199,133,707,536/204,528
  6. Step 6: Final answer
    x = 973,625.65

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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.