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Finding the Third Proportional to 258,795 and 395,104.50

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Solution

The third proportional to 258,795 and 395,104.50 is: 603,209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,795 : 395,104.50 = 395,104.50 : x
  2. Step 2: Convert to fraction form
    258,795/395,104.50 = 395,104.50/x
  3. Step 3: Cross multiply
    258,795x = 395,104.50 × 395,104.50
  4. Step 4: Simplify right side
    258,795x = 156,107,565,920.25
  5. Step 5: Solve for x
    x = 156,107,565,920.25/258,795
  6. Step 6: Final answer
    x = 603,209.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.