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Finding the Third Proportional to 254,560 and 502,694

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Solution

The third proportional to 254,560 and 502,694 is: 992,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,560 : 502,694 = 502,694 : x
  2. Step 2: Convert to fraction form
    254,560/502,694 = 502,694/x
  3. Step 3: Cross multiply
    254,560x = 502,694 × 502,694
  4. Step 4: Simplify right side
    254,560x = 252,701,257,636
  5. Step 5: Solve for x
    x = 252,701,257,636/254,560
  6. Step 6: Final answer
    x = 992,698.22

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.