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Finding the Third Proportional to 206,883 and 483,478

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Solution

The third proportional to 206,883 and 483,478 is: 1,129,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,883 : 483,478 = 483,478 : x
  2. Step 2: Convert to fraction form
    206,883/483,478 = 483,478/x
  3. Step 3: Cross multiply
    206,883x = 483,478 × 483,478
  4. Step 4: Simplify right side
    206,883x = 233,750,976,484
  5. Step 5: Solve for x
    x = 233,750,976,484/206,883
  6. Step 6: Final answer
    x = 1,129,870.39

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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.