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Finding the Third Proportional to 324,870.75 and 499,992.75

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Solution

The third proportional to 324,870.75 and 499,992.75 is: 769,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,870.75 : 499,992.75 = 499,992.75 : x
  2. Step 2: Convert to fraction form
    324,870.75/499,992.75 = 499,992.75/x
  3. Step 3: Cross multiply
    324,870.75x = 499,992.75 × 499,992.75
  4. Step 4: Simplify right side
    324,870.75x = 249,992,750,052.56
  5. Step 5: Solve for x
    x = 249,992,750,052.56/324,870.75
  6. Step 6: Final answer
    x = 769,514.49

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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.