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Finding the Third Proportional to 266,538 and 629,203.50

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Solution

The third proportional to 266,538 and 629,203.50 is: 1,485,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,538 : 629,203.50 = 629,203.50 : x
  2. Step 2: Convert to fraction form
    266,538/629,203.50 = 629,203.50/x
  3. Step 3: Cross multiply
    266,538x = 629,203.50 × 629,203.50
  4. Step 4: Simplify right side
    266,538x = 395,897,044,412.25
  5. Step 5: Solve for x
    x = 395,897,044,412.25/266,538
  6. Step 6: Final answer
    x = 1,485,330.59

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.