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Finding the Third Proportional to 409,883 and 573,175

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Solution

The third proportional to 409,883 and 573,175 is: 801,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,883 : 573,175 = 573,175 : x
  2. Step 2: Convert to fraction form
    409,883/573,175 = 573,175/x
  3. Step 3: Cross multiply
    409,883x = 573,175 × 573,175
  4. Step 4: Simplify right side
    409,883x = 328,529,580,625
  5. Step 5: Solve for x
    x = 328,529,580,625/409,883
  6. Step 6: Final answer
    x = 801,520.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.