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Finding the Third Proportional to 356,953 and 552,711

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Solution

The third proportional to 356,953 and 552,711 is: 855,825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,953 : 552,711 = 552,711 : x
  2. Step 2: Convert to fraction form
    356,953/552,711 = 552,711/x
  3. Step 3: Cross multiply
    356,953x = 552,711 × 552,711
  4. Step 4: Simplify right side
    356,953x = 305,489,449,521
  5. Step 5: Solve for x
    x = 305,489,449,521/356,953
  6. Step 6: Final answer
    x = 855,825.42

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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.