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Finding the Third Proportional to 388,756.88 and 580,134.75

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Solution

The third proportional to 388,756.88 and 580,134.75 is: 865,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,756.88 : 580,134.75 = 580,134.75 : x
  2. Step 2: Convert to fraction form
    388,756.88/580,134.75 = 580,134.75/x
  3. Step 3: Cross multiply
    388,756.88x = 580,134.75 × 580,134.75
  4. Step 4: Simplify right side
    388,756.88x = 336,556,328,157.56
  5. Step 5: Solve for x
    x = 336,556,328,157.56/388,756.88
  6. Step 6: Final answer
    x = 865,724.44

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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.