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Finding the Third Proportional to 356,978 and 573,951

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Solution

The third proportional to 356,978 and 573,951 is: 922,801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,978 : 573,951 = 573,951 : x
  2. Step 2: Convert to fraction form
    356,978/573,951 = 573,951/x
  3. Step 3: Cross multiply
    356,978x = 573,951 × 573,951
  4. Step 4: Simplify right side
    356,978x = 329,419,750,401
  5. Step 5: Solve for x
    x = 329,419,750,401/356,978
  6. Step 6: Final answer
    x = 922,801.27

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.