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Finding the Third Proportional to 244,849 and 374,517.50

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Solution

The third proportional to 244,849 and 374,517.50 is: 572,856.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,849 : 374,517.50 = 374,517.50 : x
  2. Step 2: Convert to fraction form
    244,849/374,517.50 = 374,517.50/x
  3. Step 3: Cross multiply
    244,849x = 374,517.50 × 374,517.50
  4. Step 4: Simplify right side
    244,849x = 140,263,357,806.25
  5. Step 5: Solve for x
    x = 140,263,357,806.25/244,849
  6. Step 6: Final answer
    x = 572,856.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.