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Finding the Third Proportional to 458,992 and 701,648

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Solution

The third proportional to 458,992 and 701,648 is: 1,072,589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,992 : 701,648 = 701,648 : x
  2. Step 2: Convert to fraction form
    458,992/701,648 = 701,648/x
  3. Step 3: Cross multiply
    458,992x = 701,648 × 701,648
  4. Step 4: Simplify right side
    458,992x = 492,309,915,904
  5. Step 5: Solve for x
    x = 492,309,915,904/458,992
  6. Step 6: Final answer
    x = 1,072,589.32

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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.