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Finding the Third Proportional to 294,668 and 453,189

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Solution

The third proportional to 294,668 and 453,189 is: 696,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,668 : 453,189 = 453,189 : x
  2. Step 2: Convert to fraction form
    294,668/453,189 = 453,189/x
  3. Step 3: Cross multiply
    294,668x = 453,189 × 453,189
  4. Step 4: Simplify right side
    294,668x = 205,380,269,721
  5. Step 5: Solve for x
    x = 205,380,269,721/294,668
  6. Step 6: Final answer
    x = 696,988.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.