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Finding the Third Proportional to 229,965 and 494,904

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Solution

The third proportional to 229,965 and 494,904 is: 1,065,074.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,965 : 494,904 = 494,904 : x
  2. Step 2: Convert to fraction form
    229,965/494,904 = 494,904/x
  3. Step 3: Cross multiply
    229,965x = 494,904 × 494,904
  4. Step 4: Simplify right side
    229,965x = 244,929,969,216
  5. Step 5: Solve for x
    x = 244,929,969,216/229,965
  6. Step 6: Final answer
    x = 1,065,074.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.