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Finding the Third Proportional to 349,258.50 and 533,912

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Solution

The third proportional to 349,258.50 and 533,912 is: 816,192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,258.50 : 533,912 = 533,912 : x
  2. Step 2: Convert to fraction form
    349,258.50/533,912 = 533,912/x
  3. Step 3: Cross multiply
    349,258.50x = 533,912 × 533,912
  4. Step 4: Simplify right side
    349,258.50x = 285,062,023,744
  5. Step 5: Solve for x
    x = 285,062,023,744/349,258.50
  6. Step 6: Final answer
    x = 816,192.09

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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.