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Finding the Third Proportional to 252,482 and 550,162

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Solution

The third proportional to 252,482 and 550,162 is: 1,198,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,482 : 550,162 = 550,162 : x
  2. Step 2: Convert to fraction form
    252,482/550,162 = 550,162/x
  3. Step 3: Cross multiply
    252,482x = 550,162 × 550,162
  4. Step 4: Simplify right side
    252,482x = 302,678,226,244
  5. Step 5: Solve for x
    x = 302,678,226,244/252,482
  6. Step 6: Final answer
    x = 1,198,811.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.