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Finding the Third Proportional to 252,733.50 and 551,778

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Solution

The third proportional to 252,733.50 and 551,778 is: 1,204,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,733.50 : 551,778 = 551,778 : x
  2. Step 2: Convert to fraction form
    252,733.50/551,778 = 551,778/x
  3. Step 3: Cross multiply
    252,733.50x = 551,778 × 551,778
  4. Step 4: Simplify right side
    252,733.50x = 304,458,961,284
  5. Step 5: Solve for x
    x = 304,458,961,284/252,733.50
  6. Step 6: Final answer
    x = 1,204,664.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.