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Finding the Third Proportional to 324,708.75 and 509,360.27

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Solution

The third proportional to 324,708.75 and 509,360.27 is: 799,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,708.75 : 509,360.27 = 509,360.27 : x
  2. Step 2: Convert to fraction form
    324,708.75/509,360.27 = 509,360.27/x
  3. Step 3: Cross multiply
    324,708.75x = 509,360.27 × 509,360.27
  4. Step 4: Simplify right side
    324,708.75x = 259,447,888,156.33
  5. Step 5: Solve for x
    x = 259,447,888,156.33/324,708.75
  6. Step 6: Final answer
    x = 799,017.24

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.