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Finding the Third Proportional to 205,820 and 447,722

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Solution

The third proportional to 205,820 and 447,722 is: 973,933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,820 : 447,722 = 447,722 : x
  2. Step 2: Convert to fraction form
    205,820/447,722 = 447,722/x
  3. Step 3: Cross multiply
    205,820x = 447,722 × 447,722
  4. Step 4: Simplify right side
    205,820x = 200,454,989,284
  5. Step 5: Solve for x
    x = 200,454,989,284/205,820
  6. Step 6: Final answer
    x = 973,933.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.