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Finding the Third Proportional to 433,568 and 927,400

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Solution

The third proportional to 433,568 and 927,400 is: 1,983,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,568 : 927,400 = 927,400 : x
  2. Step 2: Convert to fraction form
    433,568/927,400 = 927,400/x
  3. Step 3: Cross multiply
    433,568x = 927,400 × 927,400
  4. Step 4: Simplify right side
    433,568x = 860,070,760,000
  5. Step 5: Solve for x
    x = 860,070,760,000/433,568
  6. Step 6: Final answer
    x = 1,983,704.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.