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Finding the Third Proportional to 351,065 and 529,689

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Solution

The third proportional to 351,065 and 529,689 is: 799,197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,065 : 529,689 = 529,689 : x
  2. Step 2: Convert to fraction form
    351,065/529,689 = 529,689/x
  3. Step 3: Cross multiply
    351,065x = 529,689 × 529,689
  4. Step 4: Simplify right side
    351,065x = 280,570,436,721
  5. Step 5: Solve for x
    x = 280,570,436,721/351,065
  6. Step 6: Final answer
    x = 799,197.97

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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.