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Finding the Third Proportional to 201,530 and 442,804

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Solution

The third proportional to 201,530 and 442,804 is: 972,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,530 : 442,804 = 442,804 : x
  2. Step 2: Convert to fraction form
    201,530/442,804 = 442,804/x
  3. Step 3: Cross multiply
    201,530x = 442,804 × 442,804
  4. Step 4: Simplify right side
    201,530x = 196,075,382,416
  5. Step 5: Solve for x
    x = 196,075,382,416/201,530
  6. Step 6: Final answer
    x = 972,933.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.