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Finding the Third Proportional to 347,967 and 741,483

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Solution

The third proportional to 347,967 and 741,483 is: 1,580,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,967 : 741,483 = 741,483 : x
  2. Step 2: Convert to fraction form
    347,967/741,483 = 741,483/x
  3. Step 3: Cross multiply
    347,967x = 741,483 × 741,483
  4. Step 4: Simplify right side
    347,967x = 549,797,039,289
  5. Step 5: Solve for x
    x = 549,797,039,289/347,967
  6. Step 6: Final answer
    x = 1,580,026.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.