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Finding the Third Proportional to 200,526 and 445,879

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Solution

The third proportional to 200,526 and 445,879 is: 991,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,526 : 445,879 = 445,879 : x
  2. Step 2: Convert to fraction form
    200,526/445,879 = 445,879/x
  3. Step 3: Cross multiply
    200,526x = 445,879 × 445,879
  4. Step 4: Simplify right side
    200,526x = 198,808,082,641
  5. Step 5: Solve for x
    x = 198,808,082,641/200,526
  6. Step 6: Final answer
    x = 991,432.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.