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Finding the Third Proportional to 228,627 and 347,500.50

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Solution

The third proportional to 228,627 and 347,500.50 is: 528,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,627 : 347,500.50 = 347,500.50 : x
  2. Step 2: Convert to fraction form
    228,627/347,500.50 = 347,500.50/x
  3. Step 3: Cross multiply
    228,627x = 347,500.50 × 347,500.50
  4. Step 4: Simplify right side
    228,627x = 120,756,597,500.25
  5. Step 5: Solve for x
    x = 120,756,597,500.25/228,627
  6. Step 6: Final answer
    x = 528,181.70

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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.