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Finding the Third Proportional to 303,456 and 674,304

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Solution

The third proportional to 303,456 and 674,304 is: 1,498,358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,456 : 674,304 = 674,304 : x
  2. Step 2: Convert to fraction form
    303,456/674,304 = 674,304/x
  3. Step 3: Cross multiply
    303,456x = 674,304 × 674,304
  4. Step 4: Simplify right side
    303,456x = 454,685,884,416
  5. Step 5: Solve for x
    x = 454,685,884,416/303,456
  6. Step 6: Final answer
    x = 1,498,358.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.