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Finding the Third Proportional to 356,956 and 552,713

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Solution

The third proportional to 356,956 and 552,713 is: 855,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,956 : 552,713 = 552,713 : x
  2. Step 2: Convert to fraction form
    356,956/552,713 = 552,713/x
  3. Step 3: Cross multiply
    356,956x = 552,713 × 552,713
  4. Step 4: Simplify right side
    356,956x = 305,491,660,369
  5. Step 5: Solve for x
    x = 305,491,660,369/356,956
  6. Step 6: Final answer
    x = 855,824.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.