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Finding the Third Proportional to 320,510 and 683,916

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Solution

The third proportional to 320,510 and 683,916 is: 1,459,365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,510 : 683,916 = 683,916 : x
  2. Step 2: Convert to fraction form
    320,510/683,916 = 683,916/x
  3. Step 3: Cross multiply
    320,510x = 683,916 × 683,916
  4. Step 4: Simplify right side
    320,510x = 467,741,095,056
  5. Step 5: Solve for x
    x = 467,741,095,056/320,510
  6. Step 6: Final answer
    x = 1,459,365.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.