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Finding the Third Proportional to 257,769 and 565,969.50

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Solution

The third proportional to 257,769 and 565,969.50 is: 1,242,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,769 : 565,969.50 = 565,969.50 : x
  2. Step 2: Convert to fraction form
    257,769/565,969.50 = 565,969.50/x
  3. Step 3: Cross multiply
    257,769x = 565,969.50 × 565,969.50
  4. Step 4: Simplify right side
    257,769x = 320,321,474,930.25
  5. Step 5: Solve for x
    x = 320,321,474,930.25/257,769
  6. Step 6: Final answer
    x = 1,242,668.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.