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Finding the Third Proportional to 232,246 and 327,056

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Solution

The third proportional to 232,246 and 327,056 is: 460,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,246 : 327,056 = 327,056 : x
  2. Step 2: Convert to fraction form
    232,246/327,056 = 327,056/x
  3. Step 3: Cross multiply
    232,246x = 327,056 × 327,056
  4. Step 4: Simplify right side
    232,246x = 106,965,627,136
  5. Step 5: Solve for x
    x = 106,965,627,136/232,246
  6. Step 6: Final answer
    x = 460,570.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.