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Finding the Third Proportional to 400,745 and 599,861.50

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Solution

The third proportional to 400,745 and 599,861.50 is: 897,912.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,745 : 599,861.50 = 599,861.50 : x
  2. Step 2: Convert to fraction form
    400,745/599,861.50 = 599,861.50/x
  3. Step 3: Cross multiply
    400,745x = 599,861.50 × 599,861.50
  4. Step 4: Simplify right side
    400,745x = 359,833,819,182.25
  5. Step 5: Solve for x
    x = 359,833,819,182.25/400,745
  6. Step 6: Final answer
    x = 897,912.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.