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Finding the Third Proportional to 209,488 and 452,176

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Solution

The third proportional to 209,488 and 452,176 is: 976,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,488 : 452,176 = 452,176 : x
  2. Step 2: Convert to fraction form
    209,488/452,176 = 452,176/x
  3. Step 3: Cross multiply
    209,488x = 452,176 × 452,176
  4. Step 4: Simplify right side
    209,488x = 204,463,134,976
  5. Step 5: Solve for x
    x = 204,463,134,976/209,488
  6. Step 6: Final answer
    x = 976,013.59

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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.