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Finding the Third Proportional to 393,676 and 590,407

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Solution

The third proportional to 393,676 and 590,407 is: 885,450.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,676 : 590,407 = 590,407 : x
  2. Step 2: Convert to fraction form
    393,676/590,407 = 590,407/x
  3. Step 3: Cross multiply
    393,676x = 590,407 × 590,407
  4. Step 4: Simplify right side
    393,676x = 348,580,425,649
  5. Step 5: Solve for x
    x = 348,580,425,649/393,676
  6. Step 6: Final answer
    x = 885,450.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.