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Finding the Third Proportional to 340,401.75 and 462,528.75

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Solution

The third proportional to 340,401.75 and 462,528.75 is: 628,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,401.75 : 462,528.75 = 462,528.75 : x
  2. Step 2: Convert to fraction form
    340,401.75/462,528.75 = 462,528.75/x
  3. Step 3: Cross multiply
    340,401.75x = 462,528.75 × 462,528.75
  4. Step 4: Simplify right side
    340,401.75x = 213,932,844,576.56
  5. Step 5: Solve for x
    x = 213,932,844,576.56/340,401.75
  6. Step 6: Final answer
    x = 628,471.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.