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Finding the Third Proportional to 252,328.50 and 374,847.75

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Solution

The third proportional to 252,328.50 and 374,847.75 is: 556,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,328.50 : 374,847.75 = 374,847.75 : x
  2. Step 2: Convert to fraction form
    252,328.50/374,847.75 = 374,847.75/x
  3. Step 3: Cross multiply
    252,328.50x = 374,847.75 × 374,847.75
  4. Step 4: Simplify right side
    252,328.50x = 140,510,835,680.06
  5. Step 5: Solve for x
    x = 140,510,835,680.06/252,328.50
  6. Step 6: Final answer
    x = 556,856.78

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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.