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Finding the Third Proportional to 285,326 and 674,764

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Solution

The third proportional to 285,326 and 674,764 is: 1,595,741.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,326 : 674,764 = 674,764 : x
  2. Step 2: Convert to fraction form
    285,326/674,764 = 674,764/x
  3. Step 3: Cross multiply
    285,326x = 674,764 × 674,764
  4. Step 4: Simplify right side
    285,326x = 455,306,455,696
  5. Step 5: Solve for x
    x = 455,306,455,696/285,326
  6. Step 6: Final answer
    x = 1,595,741.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.