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Finding the Third Proportional to 209,608 and 452,568

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Solution

The third proportional to 209,608 and 452,568 is: 977,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,608 : 452,568 = 452,568 : x
  2. Step 2: Convert to fraction form
    209,608/452,568 = 452,568/x
  3. Step 3: Cross multiply
    209,608x = 452,568 × 452,568
  4. Step 4: Simplify right side
    209,608x = 204,817,794,624
  5. Step 5: Solve for x
    x = 204,817,794,624/209,608
  6. Step 6: Final answer
    x = 977,146.84

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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.