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Finding the Third Proportional to 205,956 and 424,629

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Solution

The third proportional to 205,956 and 424,629 is: 875,477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,956 : 424,629 = 424,629 : x
  2. Step 2: Convert to fraction form
    205,956/424,629 = 424,629/x
  3. Step 3: Cross multiply
    205,956x = 424,629 × 424,629
  4. Step 4: Simplify right side
    205,956x = 180,309,787,641
  5. Step 5: Solve for x
    x = 180,309,787,641/205,956
  6. Step 6: Final answer
    x = 875,477.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.