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Finding the Third Proportional to 356,696 and 521,916

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Solution

The third proportional to 356,696 and 521,916 is: 763,665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,696 : 521,916 = 521,916 : x
  2. Step 2: Convert to fraction form
    356,696/521,916 = 521,916/x
  3. Step 3: Cross multiply
    356,696x = 521,916 × 521,916
  4. Step 4: Simplify right side
    356,696x = 272,396,311,056
  5. Step 5: Solve for x
    x = 272,396,311,056/356,696
  6. Step 6: Final answer
    x = 763,665.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.