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Finding the Third Proportional to 285,842 and 445,085

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Solution

The third proportional to 285,842 and 445,085 is: 693,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,842 : 445,085 = 445,085 : x
  2. Step 2: Convert to fraction form
    285,842/445,085 = 445,085/x
  3. Step 3: Cross multiply
    285,842x = 445,085 × 445,085
  4. Step 4: Simplify right side
    285,842x = 198,100,657,225
  5. Step 5: Solve for x
    x = 198,100,657,225/285,842
  6. Step 6: Final answer
    x = 693,042.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.