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Finding the Third Proportional to 252,333 and 374,853.38

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Solution

The third proportional to 252,333 and 374,853.38 is: 556,863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,333 : 374,853.38 = 374,853.38 : x
  2. Step 2: Convert to fraction form
    252,333/374,853.38 = 374,853.38/x
  3. Step 3: Cross multiply
    252,333x = 374,853.38 × 374,853.38
  4. Step 4: Simplify right side
    252,333x = 140,515,052,748.89
  5. Step 5: Solve for x
    x = 140,515,052,748.89/252,333
  6. Step 6: Final answer
    x = 556,863.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.