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Finding the Third Proportional to 351,090 and 529,734

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Solution

The third proportional to 351,090 and 529,734 is: 799,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,090 : 529,734 = 529,734 : x
  2. Step 2: Convert to fraction form
    351,090/529,734 = 529,734/x
  3. Step 3: Cross multiply
    351,090x = 529,734 × 529,734
  4. Step 4: Simplify right side
    351,090x = 280,618,110,756
  5. Step 5: Solve for x
    x = 280,618,110,756/351,090
  6. Step 6: Final answer
    x = 799,276.85

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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.