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Finding the Third Proportional to 274,757 and 585,806

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Solution

The third proportional to 274,757 and 585,806 is: 1,248,989.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,757 : 585,806 = 585,806 : x
  2. Step 2: Convert to fraction form
    274,757/585,806 = 585,806/x
  3. Step 3: Cross multiply
    274,757x = 585,806 × 585,806
  4. Step 4: Simplify right side
    274,757x = 343,168,669,636
  5. Step 5: Solve for x
    x = 343,168,669,636/274,757
  6. Step 6: Final answer
    x = 1,248,989.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.