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Finding the Third Proportional to 450,828 and 674,829

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Solution

The third proportional to 450,828 and 674,829 is: 1,010,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,828 : 674,829 = 674,829 : x
  2. Step 2: Convert to fraction form
    450,828/674,829 = 674,829/x
  3. Step 3: Cross multiply
    450,828x = 674,829 × 674,829
  4. Step 4: Simplify right side
    450,828x = 455,394,179,241
  5. Step 5: Solve for x
    x = 455,394,179,241/450,828
  6. Step 6: Final answer
    x = 1,010,128.43

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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.