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Finding the Third Proportional to 266,619 and 374,980.50

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Solution

The third proportional to 266,619 and 374,980.50 is: 527,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,619 : 374,980.50 = 374,980.50 : x
  2. Step 2: Convert to fraction form
    266,619/374,980.50 = 374,980.50/x
  3. Step 3: Cross multiply
    266,619x = 374,980.50 × 374,980.50
  4. Step 4: Simplify right side
    266,619x = 140,610,375,380.25
  5. Step 5: Solve for x
    x = 140,610,375,380.25/266,619
  6. Step 6: Final answer
    x = 527,383.18

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.