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Finding the Third Proportional to 673,764 and 985,512

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Solution

The third proportional to 673,764 and 985,512 is: 1,441,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,764 : 985,512 = 985,512 : x
  2. Step 2: Convert to fraction form
    673,764/985,512 = 985,512/x
  3. Step 3: Cross multiply
    673,764x = 985,512 × 985,512
  4. Step 4: Simplify right side
    673,764x = 971,233,902,144
  5. Step 5: Solve for x
    x = 971,233,902,144/673,764
  6. Step 6: Final answer
    x = 1,441,504.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.