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Finding the Third Proportional to 199,514 and 436,468

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Solution

The third proportional to 199,514 and 436,468 is: 954,841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,514 : 436,468 = 436,468 : x
  2. Step 2: Convert to fraction form
    199,514/436,468 = 436,468/x
  3. Step 3: Cross multiply
    199,514x = 436,468 × 436,468
  4. Step 4: Simplify right side
    199,514x = 190,504,315,024
  5. Step 5: Solve for x
    x = 190,504,315,024/199,514
  6. Step 6: Final answer
    x = 954,841.84

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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.