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Finding the Third Proportional to 202,583 and 434,599

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Solution

The third proportional to 202,583 and 434,599 is: 932,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,583 : 434,599 = 434,599 : x
  2. Step 2: Convert to fraction form
    202,583/434,599 = 434,599/x
  3. Step 3: Cross multiply
    202,583x = 434,599 × 434,599
  4. Step 4: Simplify right side
    202,583x = 188,876,290,801
  5. Step 5: Solve for x
    x = 188,876,290,801/202,583
  6. Step 6: Final answer
    x = 932,340.28

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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.