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Finding the Third Proportional to 233,256 and 365,472

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Solution

The third proportional to 233,256 and 365,472 is: 572,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,256 : 365,472 = 365,472 : x
  2. Step 2: Convert to fraction form
    233,256/365,472 = 365,472/x
  3. Step 3: Cross multiply
    233,256x = 365,472 × 365,472
  4. Step 4: Simplify right side
    233,256x = 133,569,782,784
  5. Step 5: Solve for x
    x = 133,569,782,784/233,256
  6. Step 6: Final answer
    x = 572,631.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.