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Finding the Third Proportional to 512,910 and 804,575

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Solution

The third proportional to 512,910 and 804,575 is: 1,262,094.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,910 : 804,575 = 804,575 : x
  2. Step 2: Convert to fraction form
    512,910/804,575 = 804,575/x
  3. Step 3: Cross multiply
    512,910x = 804,575 × 804,575
  4. Step 4: Simplify right side
    512,910x = 647,340,930,625
  5. Step 5: Solve for x
    x = 647,340,930,625/512,910
  6. Step 6: Final answer
    x = 1,262,094.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.