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Finding the Third Proportional to 206,887 and 483,488

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Solution

The third proportional to 206,887 and 483,488 is: 1,129,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,887 : 483,488 = 483,488 : x
  2. Step 2: Convert to fraction form
    206,887/483,488 = 483,488/x
  3. Step 3: Cross multiply
    206,887x = 483,488 × 483,488
  4. Step 4: Simplify right side
    206,887x = 233,760,646,144
  5. Step 5: Solve for x
    x = 233,760,646,144/206,887
  6. Step 6: Final answer
    x = 1,129,895.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.