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Finding the Third Proportional to 367,559 and 791,436

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Solution

The third proportional to 367,559 and 791,436 is: 1,704,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,559 : 791,436 = 791,436 : x
  2. Step 2: Convert to fraction form
    367,559/791,436 = 791,436/x
  3. Step 3: Cross multiply
    367,559x = 791,436 × 791,436
  4. Step 4: Simplify right side
    367,559x = 626,370,942,096
  5. Step 5: Solve for x
    x = 626,370,942,096/367,559
  6. Step 6: Final answer
    x = 1,704,137.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.