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Finding the Third Proportional to 262,750.50 and 574,576.88

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Solution

The third proportional to 262,750.50 and 574,576.88 is: 1,256,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,750.50 : 574,576.88 = 574,576.88 : x
  2. Step 2: Convert to fraction form
    262,750.50/574,576.88 = 574,576.88/x
  3. Step 3: Cross multiply
    262,750.50x = 574,576.88 × 574,576.88
  4. Step 4: Simplify right side
    262,750.50x = 330,138,585,284.77
  5. Step 5: Solve for x
    x = 330,138,585,284.77/262,750.50
  6. Step 6: Final answer
    x = 1,256,471.77

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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.