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Finding the Third Proportional to 324,676 and 499,326

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Solution

The third proportional to 324,676 and 499,326 is: 767,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,676 : 499,326 = 499,326 : x
  2. Step 2: Convert to fraction form
    324,676/499,326 = 499,326/x
  3. Step 3: Cross multiply
    324,676x = 499,326 × 499,326
  4. Step 4: Simplify right side
    324,676x = 249,326,454,276
  5. Step 5: Solve for x
    x = 249,326,454,276/324,676
  6. Step 6: Final answer
    x = 767,923.88

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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.