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Finding the Third Proportional to 203,497 and 436,518

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Solution

The third proportional to 203,497 and 436,518 is: 936,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,497 : 436,518 = 436,518 : x
  2. Step 2: Convert to fraction form
    203,497/436,518 = 436,518/x
  3. Step 3: Cross multiply
    203,497x = 436,518 × 436,518
  4. Step 4: Simplify right side
    203,497x = 190,547,964,324
  5. Step 5: Solve for x
    x = 190,547,964,324/203,497
  6. Step 6: Final answer
    x = 936,367.44

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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.