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Finding the Third Proportional to 281,556 and 436,330

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Solution

The third proportional to 281,556 and 436,330 is: 676,184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,556 : 436,330 = 436,330 : x
  2. Step 2: Convert to fraction form
    281,556/436,330 = 436,330/x
  3. Step 3: Cross multiply
    281,556x = 436,330 × 436,330
  4. Step 4: Simplify right side
    281,556x = 190,383,868,900
  5. Step 5: Solve for x
    x = 190,383,868,900/281,556
  6. Step 6: Final answer
    x = 676,184.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.