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Finding the Third Proportional to 383,544.25 and 575,028.38

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Solution

The third proportional to 383,544.25 and 575,028.38 is: 862,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,544.25 : 575,028.38 = 575,028.38 : x
  2. Step 2: Convert to fraction form
    383,544.25/575,028.38 = 575,028.38/x
  3. Step 3: Cross multiply
    383,544.25x = 575,028.38 × 575,028.38
  4. Step 4: Simplify right side
    383,544.25x = 330,657,632,055.14
  5. Step 5: Solve for x
    x = 330,657,632,055.14/383,544.25
  6. Step 6: Final answer
    x = 862,110.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.