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Finding the Third Proportional to 356,956 and 475,889

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Solution

The third proportional to 356,956 and 475,889 is: 634,448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,956 : 475,889 = 475,889 : x
  2. Step 2: Convert to fraction form
    356,956/475,889 = 475,889/x
  3. Step 3: Cross multiply
    356,956x = 475,889 × 475,889
  4. Step 4: Simplify right side
    356,956x = 226,470,340,321
  5. Step 5: Solve for x
    x = 226,470,340,321/356,956
  6. Step 6: Final answer
    x = 634,448.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.