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Finding the Third Proportional to 285,914.25 and 611,093.25

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Solution

The third proportional to 285,914.25 and 611,093.25 is: 1,306,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,914.25 : 611,093.25 = 611,093.25 : x
  2. Step 2: Convert to fraction form
    285,914.25/611,093.25 = 611,093.25/x
  3. Step 3: Cross multiply
    285,914.25x = 611,093.25 × 611,093.25
  4. Step 4: Simplify right side
    285,914.25x = 373,434,960,195.56
  5. Step 5: Solve for x
    x = 373,434,960,195.56/285,914.25
  6. Step 6: Final answer
    x = 1,306,108.25

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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.