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Finding the Third Proportional to 580,185.28 and 886,953.80

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Solution

The third proportional to 580,185.28 and 886,953.80 is: 1,355,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,185.28 : 886,953.80 = 886,953.80 : x
  2. Step 2: Convert to fraction form
    580,185.28/886,953.80 = 886,953.80/x
  3. Step 3: Cross multiply
    580,185.28x = 886,953.80 × 886,953.80
  4. Step 4: Simplify right side
    580,185.28x = 786,687,037,790.98
  5. Step 5: Solve for x
    x = 786,687,037,790.98/580,185.28
  6. Step 6: Final answer
    x = 1,355,923.81

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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.