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Finding the Third Proportional to 372,934.13 and 816,395.63

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Solution

The third proportional to 372,934.13 and 816,395.63 is: 1,787,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,934.13 : 816,395.63 = 816,395.63 : x
  2. Step 2: Convert to fraction form
    372,934.13/816,395.63 = 816,395.63/x
  3. Step 3: Cross multiply
    372,934.13x = 816,395.63 × 816,395.63
  4. Step 4: Simplify right side
    372,934.13x = 666,501,816,519.14
  5. Step 5: Solve for x
    x = 666,501,816,519.14/372,934.13
  6. Step 6: Final answer
    x = 1,787,183.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.