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Finding the Third Proportional to 257,724 and 522,694

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Solution

The third proportional to 257,724 and 522,694 is: 1,060,083.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,724 : 522,694 = 522,694 : x
  2. Step 2: Convert to fraction form
    257,724/522,694 = 522,694/x
  3. Step 3: Cross multiply
    257,724x = 522,694 × 522,694
  4. Step 4: Simplify right side
    257,724x = 273,209,017,636
  5. Step 5: Solve for x
    x = 273,209,017,636/257,724
  6. Step 6: Final answer
    x = 1,060,083.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.