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Finding the Third Proportional to 442,373.91 and 967,538.67

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Solution

The third proportional to 442,373.91 and 967,538.67 is: 2,116,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,373.91 : 967,538.67 = 967,538.67 : x
  2. Step 2: Convert to fraction form
    442,373.91/967,538.67 = 967,538.67/x
  3. Step 3: Cross multiply
    442,373.91x = 967,538.67 × 967,538.67
  4. Step 4: Simplify right side
    442,373.91x = 936,131,081,573.64
  5. Step 5: Solve for x
    x = 936,131,081,573.64/442,373.91
  6. Step 6: Final answer
    x = 2,116,153.48

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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.