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Finding the Third Proportional to 451,238 and 674,588

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Solution

The third proportional to 451,238 and 674,588 is: 1,008,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,238 : 674,588 = 674,588 : x
  2. Step 2: Convert to fraction form
    451,238/674,588 = 674,588/x
  3. Step 3: Cross multiply
    451,238x = 674,588 × 674,588
  4. Step 4: Simplify right side
    451,238x = 455,068,969,744
  5. Step 5: Solve for x
    x = 455,068,969,744/451,238
  6. Step 6: Final answer
    x = 1,008,489.91

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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.