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Finding the Third Proportional to 253,942.59 and 551,625.19

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Solution

The third proportional to 253,942.59 and 551,625.19 is: 1,198,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,942.59 : 551,625.19 = 551,625.19 : x
  2. Step 2: Convert to fraction form
    253,942.59/551,625.19 = 551,625.19/x
  3. Step 3: Cross multiply
    253,942.59x = 551,625.19 × 551,625.19
  4. Step 4: Simplify right side
    253,942.59x = 304,290,347,484.41
  5. Step 5: Solve for x
    x = 304,290,347,484.41/253,942.59
  6. Step 6: Final answer
    x = 1,198,264.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.