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Finding the Third Proportional to 729,978 and 976,443

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Solution

The third proportional to 729,978 and 976,443 is: 1,306,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,978 : 976,443 = 976,443 : x
  2. Step 2: Convert to fraction form
    729,978/976,443 = 976,443/x
  3. Step 3: Cross multiply
    729,978x = 976,443 × 976,443
  4. Step 4: Simplify right side
    729,978x = 953,440,932,249
  5. Step 5: Solve for x
    x = 953,440,932,249/729,978
  6. Step 6: Final answer
    x = 1,306,122.83

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.