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Finding the Third Proportional to 451,195.31 and 674,512.31

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Solution

The third proportional to 451,195.31 and 674,512.31 is: 1,008,359.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,195.31 : 674,512.31 = 674,512.31 : x
  2. Step 2: Convert to fraction form
    451,195.31/674,512.31 = 674,512.31/x
  3. Step 3: Cross multiply
    451,195.31x = 674,512.31 × 674,512.31
  4. Step 4: Simplify right side
    451,195.31x = 454,966,859,714.10
  5. Step 5: Solve for x
    x = 454,966,859,714.10/451,195.31
  6. Step 6: Final answer
    x = 1,008,359.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.