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Finding the Third Proportional to 433,934 and 671,835

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Solution

The third proportional to 433,934 and 671,835 is: 1,040,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,934 : 671,835 = 671,835 : x
  2. Step 2: Convert to fraction form
    433,934/671,835 = 671,835/x
  3. Step 3: Cross multiply
    433,934x = 671,835 × 671,835
  4. Step 4: Simplify right side
    433,934x = 451,362,267,225
  5. Step 5: Solve for x
    x = 451,362,267,225/433,934
  6. Step 6: Final answer
    x = 1,040,163.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.