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Finding the Third Proportional to 266,692.50 and 389,508.75

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Solution

The third proportional to 266,692.50 and 389,508.75 is: 568,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,692.50 : 389,508.75 = 389,508.75 : x
  2. Step 2: Convert to fraction form
    266,692.50/389,508.75 = 389,508.75/x
  3. Step 3: Cross multiply
    266,692.50x = 389,508.75 × 389,508.75
  4. Step 4: Simplify right side
    266,692.50x = 151,717,066,326.56
  5. Step 5: Solve for x
    x = 151,717,066,326.56/266,692.50
  6. Step 6: Final answer
    x = 568,883.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.