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Finding the Third Proportional to 372,943.50 and 816,420

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Solution

The third proportional to 372,943.50 and 816,420 is: 1,787,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,943.50 : 816,420 = 816,420 : x
  2. Step 2: Convert to fraction form
    372,943.50/816,420 = 816,420/x
  3. Step 3: Cross multiply
    372,943.50x = 816,420 × 816,420
  4. Step 4: Simplify right side
    372,943.50x = 666,541,616,400
  5. Step 5: Solve for x
    x = 666,541,616,400/372,943.50
  6. Step 6: Final answer
    x = 1,787,245.57

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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.