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Finding the Third Proportional to 204,384 and 446,784

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Solution

The third proportional to 204,384 and 446,784 is: 976,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,384 : 446,784 = 446,784 : x
  2. Step 2: Convert to fraction form
    204,384/446,784 = 446,784/x
  3. Step 3: Cross multiply
    204,384x = 446,784 × 446,784
  4. Step 4: Simplify right side
    204,384x = 199,615,942,656
  5. Step 5: Solve for x
    x = 199,615,942,656/204,384
  6. Step 6: Final answer
    x = 976,671.08

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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.