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Finding the Third Proportional to 378,663.50 and 810,520

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Solution

The third proportional to 378,663.50 and 810,520 is: 1,734,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,663.50 : 810,520 = 810,520 : x
  2. Step 2: Convert to fraction form
    378,663.50/810,520 = 810,520/x
  3. Step 3: Cross multiply
    378,663.50x = 810,520 × 810,520
  4. Step 4: Simplify right side
    378,663.50x = 656,942,670,400
  5. Step 5: Solve for x
    x = 656,942,670,400/378,663.50
  6. Step 6: Final answer
    x = 1,734,898.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.