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Finding the Third Proportional to 228,628.50 and 347,502

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Solution

The third proportional to 228,628.50 and 347,502 is: 528,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,628.50 : 347,502 = 347,502 : x
  2. Step 2: Convert to fraction form
    228,628.50/347,502 = 347,502/x
  3. Step 3: Cross multiply
    228,628.50x = 347,502 × 347,502
  4. Step 4: Simplify right side
    228,628.50x = 120,757,640,004
  5. Step 5: Solve for x
    x = 120,757,640,004/228,628.50
  6. Step 6: Final answer
    x = 528,182.79

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.