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Finding the Third Proportional to 356,922 and 475,845

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Solution

The third proportional to 356,922 and 475,845 is: 634,392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,922 : 475,845 = 475,845 : x
  2. Step 2: Convert to fraction form
    356,922/475,845 = 475,845/x
  3. Step 3: Cross multiply
    356,922x = 475,845 × 475,845
  4. Step 4: Simplify right side
    356,922x = 226,428,464,025
  5. Step 5: Solve for x
    x = 226,428,464,025/356,922
  6. Step 6: Final answer
    x = 634,392.01

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