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Finding the Third Proportional to 356,972 and 475,908

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Solution

The third proportional to 356,972 and 475,908 is: 634,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,972 : 475,908 = 475,908 : x
  2. Step 2: Convert to fraction form
    356,972/475,908 = 475,908/x
  3. Step 3: Cross multiply
    356,972x = 475,908 × 475,908
  4. Step 4: Simplify right side
    356,972x = 226,488,424,464
  5. Step 5: Solve for x
    x = 226,488,424,464/356,972
  6. Step 6: Final answer
    x = 634,471.12

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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.