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Finding the Third Proportional to 512,456 and 748,936

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Solution

The third proportional to 512,456 and 748,936 is: 1,094,543.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,456 : 748,936 = 748,936 : x
  2. Step 2: Convert to fraction form
    512,456/748,936 = 748,936/x
  3. Step 3: Cross multiply
    512,456x = 748,936 × 748,936
  4. Step 4: Simplify right side
    512,456x = 560,905,132,096
  5. Step 5: Solve for x
    x = 560,905,132,096/512,456
  6. Step 6: Final answer
    x = 1,094,543.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.