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Finding the Third Proportional to 450,843 and 674,851

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Solution

The third proportional to 450,843 and 674,851 is: 1,010,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,843 : 674,851 = 674,851 : x
  2. Step 2: Convert to fraction form
    450,843/674,851 = 674,851/x
  3. Step 3: Cross multiply
    450,843x = 674,851 × 674,851
  4. Step 4: Simplify right side
    450,843x = 455,423,872,201
  5. Step 5: Solve for x
    x = 455,423,872,201/450,843
  6. Step 6: Final answer
    x = 1,010,160.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.