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Finding the Third Proportional to 340,711.50 and 498,672.75

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Solution

The third proportional to 340,711.50 and 498,672.75 is: 729,868.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,711.50 : 498,672.75 = 498,672.75 : x
  2. Step 2: Convert to fraction form
    340,711.50/498,672.75 = 498,672.75/x
  3. Step 3: Cross multiply
    340,711.50x = 498,672.75 × 498,672.75
  4. Step 4: Simplify right side
    340,711.50x = 248,674,511,592.56
  5. Step 5: Solve for x
    x = 248,674,511,592.56/340,711.50
  6. Step 6: Final answer
    x = 729,868.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.