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Finding the Third Proportional to 371,601 and 814,400

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Solution

The third proportional to 371,601 and 814,400 is: 1,784,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,601 : 814,400 = 814,400 : x
  2. Step 2: Convert to fraction form
    371,601/814,400 = 814,400/x
  3. Step 3: Cross multiply
    371,601x = 814,400 × 814,400
  4. Step 4: Simplify right side
    371,601x = 663,247,360,000
  5. Step 5: Solve for x
    x = 663,247,360,000/371,601
  6. Step 6: Final answer
    x = 1,784,837.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.