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Finding the Third Proportional to 407,975 and 674,232

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Solution

The third proportional to 407,975 and 674,232 is: 1,114,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,975 : 674,232 = 674,232 : x
  2. Step 2: Convert to fraction form
    407,975/674,232 = 674,232/x
  3. Step 3: Cross multiply
    407,975x = 674,232 × 674,232
  4. Step 4: Simplify right side
    407,975x = 454,588,789,824
  5. Step 5: Solve for x
    x = 454,588,789,824/407,975
  6. Step 6: Final answer
    x = 1,114,256.49

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.