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Finding the Third Proportional to 436,162.50 and 589,146.75

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Solution

The third proportional to 436,162.50 and 589,146.75 is: 795,790.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,162.50 : 589,146.75 = 589,146.75 : x
  2. Step 2: Convert to fraction form
    436,162.50/589,146.75 = 589,146.75/x
  3. Step 3: Cross multiply
    436,162.50x = 589,146.75 × 589,146.75
  4. Step 4: Simplify right side
    436,162.50x = 347,093,893,035.56
  5. Step 5: Solve for x
    x = 347,093,893,035.56/436,162.50
  6. Step 6: Final answer
    x = 795,790.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.