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Finding the Third Proportional to 260,673 and 571,168.50

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Solution

The third proportional to 260,673 and 571,168.50 is: 1,251,504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,673 : 571,168.50 = 571,168.50 : x
  2. Step 2: Convert to fraction form
    260,673/571,168.50 = 571,168.50/x
  3. Step 3: Cross multiply
    260,673x = 571,168.50 × 571,168.50
  4. Step 4: Simplify right side
    260,673x = 326,233,455,392.25
  5. Step 5: Solve for x
    x = 326,233,455,392.25/260,673
  6. Step 6: Final answer
    x = 1,251,504.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.