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Finding the Third Proportional to 204,754 and 442,804

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Solution

The third proportional to 204,754 and 442,804 is: 957,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,754 : 442,804 = 442,804 : x
  2. Step 2: Convert to fraction form
    204,754/442,804 = 442,804/x
  3. Step 3: Cross multiply
    204,754x = 442,804 × 442,804
  4. Step 4: Simplify right side
    204,754x = 196,075,382,416
  5. Step 5: Solve for x
    x = 196,075,382,416/204,754
  6. Step 6: Final answer
    x = 957,614.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.