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Finding the Third Proportional to 320,834 and 697,092

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Solution

The third proportional to 320,834 and 697,092 is: 1,514,606.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,834 : 697,092 = 697,092 : x
  2. Step 2: Convert to fraction form
    320,834/697,092 = 697,092/x
  3. Step 3: Cross multiply
    320,834x = 697,092 × 697,092
  4. Step 4: Simplify right side
    320,834x = 485,937,256,464
  5. Step 5: Solve for x
    x = 485,937,256,464/320,834
  6. Step 6: Final answer
    x = 1,514,606.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.