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Finding the Third Proportional to 257,728.50 and 566,271

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Solution

The third proportional to 257,728.50 and 566,271 is: 1,244,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,728.50 : 566,271 = 566,271 : x
  2. Step 2: Convert to fraction form
    257,728.50/566,271 = 566,271/x
  3. Step 3: Cross multiply
    257,728.50x = 566,271 × 566,271
  4. Step 4: Simplify right side
    257,728.50x = 320,662,845,441
  5. Step 5: Solve for x
    x = 320,662,845,441/257,728.50
  6. Step 6: Final answer
    x = 1,244,188.54

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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.