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Finding the Third Proportional to 306,780 and 628,431

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Solution

The third proportional to 306,780 and 628,431 is: 1,287,324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,780 : 628,431 = 628,431 : x
  2. Step 2: Convert to fraction form
    306,780/628,431 = 628,431/x
  3. Step 3: Cross multiply
    306,780x = 628,431 × 628,431
  4. Step 4: Simplify right side
    306,780x = 394,925,521,761
  5. Step 5: Solve for x
    x = 394,925,521,761/306,780
  6. Step 6: Final answer
    x = 1,287,324.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.