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Finding the Third Proportional to 512,192 and 737,781

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Solution

The third proportional to 512,192 and 737,781 is: 1,062,728.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,192 : 737,781 = 737,781 : x
  2. Step 2: Convert to fraction form
    512,192/737,781 = 737,781/x
  3. Step 3: Cross multiply
    512,192x = 737,781 × 737,781
  4. Step 4: Simplify right side
    512,192x = 544,320,803,961
  5. Step 5: Solve for x
    x = 544,320,803,961/512,192
  6. Step 6: Final answer
    x = 1,062,728.05

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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.