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Finding the Third Proportional to 348,493.50 and 512,529.75

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Solution

The third proportional to 348,493.50 and 512,529.75 is: 753,778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,493.50 : 512,529.75 = 512,529.75 : x
  2. Step 2: Convert to fraction form
    348,493.50/512,529.75 = 512,529.75/x
  3. Step 3: Cross multiply
    348,493.50x = 512,529.75 × 512,529.75
  4. Step 4: Simplify right side
    348,493.50x = 262,686,744,635.06
  5. Step 5: Solve for x
    x = 262,686,744,635.06/348,493.50
  6. Step 6: Final answer
    x = 753,778.03

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.