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Finding the Third Proportional to 207,834 and 322,444

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Solution

The third proportional to 207,834 and 322,444 is: 500,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,834 : 322,444 = 322,444 : x
  2. Step 2: Convert to fraction form
    207,834/322,444 = 322,444/x
  3. Step 3: Cross multiply
    207,834x = 322,444 × 322,444
  4. Step 4: Simplify right side
    207,834x = 103,970,133,136
  5. Step 5: Solve for x
    x = 103,970,133,136/207,834
  6. Step 6: Final answer
    x = 500,255.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.