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Finding the Third Proportional to 274,757 and 585,803

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Solution

The third proportional to 274,757 and 585,803 is: 1,248,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,757 : 585,803 = 585,803 : x
  2. Step 2: Convert to fraction form
    274,757/585,803 = 585,803/x
  3. Step 3: Cross multiply
    274,757x = 585,803 × 585,803
  4. Step 4: Simplify right side
    274,757x = 343,165,154,809
  5. Step 5: Solve for x
    x = 343,165,154,809/274,757
  6. Step 6: Final answer
    x = 1,248,976.93

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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.