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Finding the Third Proportional to 404,696 and 593,912

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Solution

The third proportional to 404,696 and 593,912 is: 871,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,696 : 593,912 = 593,912 : x
  2. Step 2: Convert to fraction form
    404,696/593,912 = 593,912/x
  3. Step 3: Cross multiply
    404,696x = 593,912 × 593,912
  4. Step 4: Simplify right side
    404,696x = 352,731,463,744
  5. Step 5: Solve for x
    x = 352,731,463,744/404,696
  6. Step 6: Final answer
    x = 871,596.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.