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Finding the Third Proportional to 320,937 and 677,687

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Solution

The third proportional to 320,937 and 677,687 is: 1,430,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,937 : 677,687 = 677,687 : x
  2. Step 2: Convert to fraction form
    320,937/677,687 = 677,687/x
  3. Step 3: Cross multiply
    320,937x = 677,687 × 677,687
  4. Step 4: Simplify right side
    320,937x = 459,259,669,969
  5. Step 5: Solve for x
    x = 459,259,669,969/320,937
  6. Step 6: Final answer
    x = 1,430,996.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.