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Finding the Third Proportional to 300,132 and 457,821

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Solution

The third proportional to 300,132 and 457,821 is: 698,359.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,132 : 457,821 = 457,821 : x
  2. Step 2: Convert to fraction form
    300,132/457,821 = 457,821/x
  3. Step 3: Cross multiply
    300,132x = 457,821 × 457,821
  4. Step 4: Simplify right side
    300,132x = 209,600,068,041
  5. Step 5: Solve for x
    x = 209,600,068,041/300,132
  6. Step 6: Final answer
    x = 698,359.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.