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Finding the Third Proportional to 202,573 and 434,579

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Solution

The third proportional to 202,573 and 434,579 is: 932,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,573 : 434,579 = 434,579 : x
  2. Step 2: Convert to fraction form
    202,573/434,579 = 434,579/x
  3. Step 3: Cross multiply
    202,573x = 434,579 × 434,579
  4. Step 4: Simplify right side
    202,573x = 188,858,907,241
  5. Step 5: Solve for x
    x = 188,858,907,241/202,573
  6. Step 6: Final answer
    x = 932,300.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.