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Finding the Third Proportional to 450,833 and 674,836

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Solution

The third proportional to 450,833 and 674,836 is: 1,010,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,833 : 674,836 = 674,836 : x
  2. Step 2: Convert to fraction form
    450,833/674,836 = 674,836/x
  3. Step 3: Cross multiply
    450,833x = 674,836 × 674,836
  4. Step 4: Simplify right side
    450,833x = 455,403,626,896
  5. Step 5: Solve for x
    x = 455,403,626,896/450,833
  6. Step 6: Final answer
    x = 1,010,138.18

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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.