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Finding the Third Proportional to 364,992.25 and 488,229.75

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Solution

The third proportional to 364,992.25 and 488,229.75 is: 653,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,992.25 : 488,229.75 = 488,229.75 : x
  2. Step 2: Convert to fraction form
    364,992.25/488,229.75 = 488,229.75/x
  3. Step 3: Cross multiply
    364,992.25x = 488,229.75 × 488,229.75
  4. Step 4: Simplify right side
    364,992.25x = 238,368,288,785.06
  5. Step 5: Solve for x
    x = 238,368,288,785.06/364,992.25
  6. Step 6: Final answer
    x = 653,077.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.