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Finding the Third Proportional to 266,530.50 and 629,186.06

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Solution

The third proportional to 266,530.50 and 629,186.06 is: 1,485,290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,530.50 : 629,186.06 = 629,186.06 : x
  2. Step 2: Convert to fraction form
    266,530.50/629,186.06 = 629,186.06/x
  3. Step 3: Cross multiply
    266,530.50x = 629,186.06 × 629,186.06
  4. Step 4: Simplify right side
    266,530.50x = 395,875,101,244.25
  5. Step 5: Solve for x
    x = 395,875,101,244.25/266,530.50
  6. Step 6: Final answer
    x = 1,485,290.06

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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.