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Finding the Third Proportional to 331,112.65 and 701,668.20

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Solution

The third proportional to 331,112.65 and 701,668.20 is: 1,486,920.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,112.65 : 701,668.20 = 701,668.20 : x
  2. Step 2: Convert to fraction form
    331,112.65/701,668.20 = 701,668.20/x
  3. Step 3: Cross multiply
    331,112.65x = 701,668.20 × 701,668.20
  4. Step 4: Simplify right side
    331,112.65x = 492,338,256,313.10
  5. Step 5: Solve for x
    x = 492,338,256,313.10/331,112.65
  6. Step 6: Final answer
    x = 1,486,920.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.