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Finding the Third Proportional to 273,744 and 585,319

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Solution

The third proportional to 273,744 and 585,319 is: 1,251,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,744 : 585,319 = 585,319 : x
  2. Step 2: Convert to fraction form
    273,744/585,319 = 585,319/x
  3. Step 3: Cross multiply
    273,744x = 585,319 × 585,319
  4. Step 4: Simplify right side
    273,744x = 342,598,331,761
  5. Step 5: Solve for x
    x = 342,598,331,761/273,744
  6. Step 6: Final answer
    x = 1,251,528.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.