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Finding the Third Proportional to 372,631.48 and 816,234.21

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Solution

The third proportional to 372,631.48 and 816,234.21 is: 1,787,928.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,631.48 : 816,234.21 = 816,234.21 : x
  2. Step 2: Convert to fraction form
    372,631.48/816,234.21 = 816,234.21/x
  3. Step 3: Cross multiply
    372,631.48x = 816,234.21 × 816,234.21
  4. Step 4: Simplify right side
    372,631.48x = 666,238,288,300.42
  5. Step 5: Solve for x
    x = 666,238,288,300.42/372,631.48
  6. Step 6: Final answer
    x = 1,787,928.07

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Why These Related Problems?

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