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Finding the Third Proportional to 482,577 and 751,441.50

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Solution

The third proportional to 482,577 and 751,441.50 is: 1,170,102.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,577 : 751,441.50 = 751,441.50 : x
  2. Step 2: Convert to fraction form
    482,577/751,441.50 = 751,441.50/x
  3. Step 3: Cross multiply
    482,577x = 751,441.50 × 751,441.50
  4. Step 4: Simplify right side
    482,577x = 564,664,327,922.25
  5. Step 5: Solve for x
    x = 564,664,327,922.25/482,577
  6. Step 6: Final answer
    x = 1,170,102.03

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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.