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Finding the Third Proportional to 394,000,729 and 604,353,551

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Solution

The third proportional to 394,000,729 and 604,353,551 is: 927,011,519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,000,729 : 604,353,551 = 604,353,551 : x
  2. Step 2: Convert to fraction form
    394,000,729/604,353,551 = 604,353,551/x
  3. Step 3: Cross multiply
    394,000,729x = 604,353,551 × 604,353,551
  4. Step 4: Simplify right side
    394,000,729x = 365,243,214,606,309,632
  5. Step 5: Solve for x
    x = 365,243,214,606,309,632/394,000,729
  6. Step 6: Final answer
    x = 927,011,519.83

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.