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Finding the Third Proportional to 254,562 and 502,698

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Solution

The third proportional to 254,562 and 502,698 is: 992,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,562 : 502,698 = 502,698 : x
  2. Step 2: Convert to fraction form
    254,562/502,698 = 502,698/x
  3. Step 3: Cross multiply
    254,562x = 502,698 × 502,698
  4. Step 4: Simplify right side
    254,562x = 252,705,279,204
  5. Step 5: Solve for x
    x = 252,705,279,204/254,562
  6. Step 6: Final answer
    x = 992,706.21

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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.