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Finding the Third Proportional to 392,733 and 604,408.50

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Solution

The third proportional to 392,733 and 604,408.50 is: 930,173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,733 : 604,408.50 = 604,408.50 : x
  2. Step 2: Convert to fraction form
    392,733/604,408.50 = 604,408.50/x
  3. Step 3: Cross multiply
    392,733x = 604,408.50 × 604,408.50
  4. Step 4: Simplify right side
    392,733x = 365,309,634,872.25
  5. Step 5: Solve for x
    x = 365,309,634,872.25/392,733
  6. Step 6: Final answer
    x = 930,173.01

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.