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Finding the Third Proportional to 380,582.50 and 818,573

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Solution

The third proportional to 380,582.50 and 818,573 is: 1,760,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,582.50 : 818,573 = 818,573 : x
  2. Step 2: Convert to fraction form
    380,582.50/818,573 = 818,573/x
  3. Step 3: Cross multiply
    380,582.50x = 818,573 × 818,573
  4. Step 4: Simplify right side
    380,582.50x = 670,061,756,329
  5. Step 5: Solve for x
    x = 670,061,756,329/380,582.50
  6. Step 6: Final answer
    x = 1,760,621.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.