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Finding the Third Proportional to 320,496 and 683,898

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Solution

The third proportional to 320,496 and 683,898 is: 1,459,351.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,496 : 683,898 = 683,898 : x
  2. Step 2: Convert to fraction form
    320,496/683,898 = 683,898/x
  3. Step 3: Cross multiply
    320,496x = 683,898 × 683,898
  4. Step 4: Simplify right side
    320,496x = 467,716,474,404
  5. Step 5: Solve for x
    x = 467,716,474,404/320,496
  6. Step 6: Final answer
    x = 1,459,351.99

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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.