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Finding the Third Proportional to 529,408.69 and 799,048.97

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Solution

The third proportional to 529,408.69 and 799,048.97 is: 1,206,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,408.69 : 799,048.97 = 799,048.97 : x
  2. Step 2: Convert to fraction form
    529,408.69/799,048.97 = 799,048.97/x
  3. Step 3: Cross multiply
    529,408.69x = 799,048.97 × 799,048.97
  4. Step 4: Simplify right side
    529,408.69x = 638,479,254,460.44
  5. Step 5: Solve for x
    x = 638,479,254,460.44/529,408.69
  6. Step 6: Final answer
    x = 1,206,023.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.