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Finding the Third Proportional to 350,925 and 488,942.50

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Solution

The third proportional to 350,925 and 488,942.50 is: 681,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,925 : 488,942.50 = 488,942.50 : x
  2. Step 2: Convert to fraction form
    350,925/488,942.50 = 488,942.50/x
  3. Step 3: Cross multiply
    350,925x = 488,942.50 × 488,942.50
  4. Step 4: Simplify right side
    350,925x = 239,064,768,306.25
  5. Step 5: Solve for x
    x = 239,064,768,306.25/350,925
  6. Step 6: Final answer
    x = 681,241.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.