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Finding the Third Proportional to 282,022 and 436,903

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Solution

The third proportional to 282,022 and 436,903 is: 676,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,022 : 436,903 = 436,903 : x
  2. Step 2: Convert to fraction form
    282,022/436,903 = 436,903/x
  3. Step 3: Cross multiply
    282,022x = 436,903 × 436,903
  4. Step 4: Simplify right side
    282,022x = 190,884,231,409
  5. Step 5: Solve for x
    x = 190,884,231,409/282,022
  6. Step 6: Final answer
    x = 676,841.63

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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.