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Finding the Third Proportional to 283,554 and 431,244

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Solution

The third proportional to 283,554 and 431,244 is: 655,858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,554 : 431,244 = 431,244 : x
  2. Step 2: Convert to fraction form
    283,554/431,244 = 431,244/x
  3. Step 3: Cross multiply
    283,554x = 431,244 × 431,244
  4. Step 4: Simplify right side
    283,554x = 185,971,387,536
  5. Step 5: Solve for x
    x = 185,971,387,536/283,554
  6. Step 6: Final answer
    x = 655,858.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.