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Finding the Third Proportional to 264,432 and 397,224

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Solution

The third proportional to 264,432 and 397,224 is: 596,701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,432 : 397,224 = 397,224 : x
  2. Step 2: Convert to fraction form
    264,432/397,224 = 397,224/x
  3. Step 3: Cross multiply
    264,432x = 397,224 × 397,224
  4. Step 4: Simplify right side
    264,432x = 157,786,906,176
  5. Step 5: Solve for x
    x = 157,786,906,176/264,432
  6. Step 6: Final answer
    x = 596,701.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.