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Finding the Third Proportional to 368,286.25 and 574,813.25

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Solution

The third proportional to 368,286.25 and 574,813.25 is: 897,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,286.25 : 574,813.25 = 574,813.25 : x
  2. Step 2: Convert to fraction form
    368,286.25/574,813.25 = 574,813.25/x
  3. Step 3: Cross multiply
    368,286.25x = 574,813.25 × 574,813.25
  4. Step 4: Simplify right side
    368,286.25x = 330,410,272,375.56
  5. Step 5: Solve for x
    x = 330,410,272,375.56/368,286.25
  6. Step 6: Final answer
    x = 897,156.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.