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Finding the Third Proportional to 199,402 and 436,244

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Solution

The third proportional to 199,402 and 436,244 is: 954,397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,402 : 436,244 = 436,244 : x
  2. Step 2: Convert to fraction form
    199,402/436,244 = 436,244/x
  3. Step 3: Cross multiply
    199,402x = 436,244 × 436,244
  4. Step 4: Simplify right side
    199,402x = 190,308,827,536
  5. Step 5: Solve for x
    x = 190,308,827,536/199,402
  6. Step 6: Final answer
    x = 954,397.79

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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.