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Finding the Third Proportional to 450,794 and 702,041

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Solution

The third proportional to 450,794 and 702,041 is: 1,093,318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,794 : 702,041 = 702,041 : x
  2. Step 2: Convert to fraction form
    450,794/702,041 = 702,041/x
  3. Step 3: Cross multiply
    450,794x = 702,041 × 702,041
  4. Step 4: Simplify right side
    450,794x = 492,861,565,681
  5. Step 5: Solve for x
    x = 492,861,565,681/450,794
  6. Step 6: Final answer
    x = 1,093,318.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.