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Finding the Third Proportional to 228,627 and 356,023.50

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Solution

The third proportional to 228,627 and 356,023.50 is: 554,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,627 : 356,023.50 = 356,023.50 : x
  2. Step 2: Convert to fraction form
    228,627/356,023.50 = 356,023.50/x
  3. Step 3: Cross multiply
    228,627x = 356,023.50 × 356,023.50
  4. Step 4: Simplify right side
    228,627x = 126,752,732,552.25
  5. Step 5: Solve for x
    x = 126,752,732,552.25/228,627
  6. Step 6: Final answer
    x = 554,408.41

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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.