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Finding the Third Proportional to 323,324 and 701,944

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Solution

The third proportional to 323,324 and 701,944 is: 1,523,936.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,324 : 701,944 = 701,944 : x
  2. Step 2: Convert to fraction form
    323,324/701,944 = 701,944/x
  3. Step 3: Cross multiply
    323,324x = 701,944 × 701,944
  4. Step 4: Simplify right side
    323,324x = 492,725,379,136
  5. Step 5: Solve for x
    x = 492,725,379,136/323,324
  6. Step 6: Final answer
    x = 1,523,936.92

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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.