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Finding the Third Proportional to 264,027.75 and 567,855.75

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Solution

The third proportional to 264,027.75 and 567,855.75 is: 1,221,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,027.75 : 567,855.75 = 567,855.75 : x
  2. Step 2: Convert to fraction form
    264,027.75/567,855.75 = 567,855.75/x
  3. Step 3: Cross multiply
    264,027.75x = 567,855.75 × 567,855.75
  4. Step 4: Simplify right side
    264,027.75x = 322,460,152,808.06
  5. Step 5: Solve for x
    x = 322,460,152,808.06/264,027.75
  6. Step 6: Final answer
    x = 1,221,311.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.