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Finding the Third Proportional to 352,086 and 529,818

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Solution

The third proportional to 352,086 and 529,818 is: 797,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,086 : 529,818 = 529,818 : x
  2. Step 2: Convert to fraction form
    352,086/529,818 = 529,818/x
  3. Step 3: Cross multiply
    352,086x = 529,818 × 529,818
  4. Step 4: Simplify right side
    352,086x = 280,707,113,124
  5. Step 5: Solve for x
    x = 280,707,113,124/352,086
  6. Step 6: Final answer
    x = 797,268.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.