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Finding the Third Proportional to 512,328 and 755,232

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Solution

The third proportional to 512,328 and 755,232 is: 1,113,301.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,328 : 755,232 = 755,232 : x
  2. Step 2: Convert to fraction form
    512,328/755,232 = 755,232/x
  3. Step 3: Cross multiply
    512,328x = 755,232 × 755,232
  4. Step 4: Simplify right side
    512,328x = 570,375,373,824
  5. Step 5: Solve for x
    x = 570,375,373,824/512,328
  6. Step 6: Final answer
    x = 1,113,301.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.