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Finding the Third Proportional to 329,328 and 473,256

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Solution

The third proportional to 329,328 and 473,256 is: 680,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,328 : 473,256 = 473,256 : x
  2. Step 2: Convert to fraction form
    329,328/473,256 = 473,256/x
  3. Step 3: Cross multiply
    329,328x = 473,256 × 473,256
  4. Step 4: Simplify right side
    329,328x = 223,971,241,536
  5. Step 5: Solve for x
    x = 223,971,241,536/329,328
  6. Step 6: Final answer
    x = 680,085.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.