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Finding the Third Proportional to 282,022 and 436,901

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Solution

The third proportional to 282,022 and 436,901 is: 676,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,022 : 436,901 = 436,901 : x
  2. Step 2: Convert to fraction form
    282,022/436,901 = 436,901/x
  3. Step 3: Cross multiply
    282,022x = 436,901 × 436,901
  4. Step 4: Simplify right side
    282,022x = 190,882,483,801
  5. Step 5: Solve for x
    x = 190,882,483,801/282,022
  6. Step 6: Final answer
    x = 676,835.44

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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.