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Finding the Third Proportional to 467,811 and 729,094.50

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Solution

The third proportional to 467,811 and 729,094.50 is: 1,136,311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,811 : 729,094.50 = 729,094.50 : x
  2. Step 2: Convert to fraction form
    467,811/729,094.50 = 729,094.50/x
  3. Step 3: Cross multiply
    467,811x = 729,094.50 × 729,094.50
  4. Step 4: Simplify right side
    467,811x = 531,578,789,930.25
  5. Step 5: Solve for x
    x = 531,578,789,930.25/467,811
  6. Step 6: Final answer
    x = 1,136,311.01

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.