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Finding the Third Proportional to 354,462.75 and 526,128.75

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Solution

The third proportional to 354,462.75 and 526,128.75 is: 780,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,462.75 : 526,128.75 = 526,128.75 : x
  2. Step 2: Convert to fraction form
    354,462.75/526,128.75 = 526,128.75/x
  3. Step 3: Cross multiply
    354,462.75x = 526,128.75 × 526,128.75
  4. Step 4: Simplify right side
    354,462.75x = 276,811,461,576.56
  5. Step 5: Solve for x
    x = 276,811,461,576.56/354,462.75
  6. Step 6: Final answer
    x = 780,932.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.