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Finding the Third Proportional to 462,517.50 and 1,114,257

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Solution

The third proportional to 462,517.50 and 1,114,257 is: 2,684,371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,517.50 : 1,114,257 = 1,114,257 : x
  2. Step 2: Convert to fraction form
    462,517.50/1,114,257 = 1,114,257/x
  3. Step 3: Cross multiply
    462,517.50x = 1,114,257 × 1,114,257
  4. Step 4: Simplify right side
    462,517.50x = 1,241,568,662,049
  5. Step 5: Solve for x
    x = 1,241,568,662,049/462,517.50
  6. Step 6: Final answer
    x = 2,684,371.21

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.