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Finding the Third Proportional to 299,704 and 637,546

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Solution

The third proportional to 299,704 and 637,546 is: 1,356,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,704 : 637,546 = 637,546 : x
  2. Step 2: Convert to fraction form
    299,704/637,546 = 637,546/x
  3. Step 3: Cross multiply
    299,704x = 637,546 × 637,546
  4. Step 4: Simplify right side
    299,704x = 406,464,902,116
  5. Step 5: Solve for x
    x = 406,464,902,116/299,704
  6. Step 6: Final answer
    x = 1,356,221.15

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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.