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Finding the Third Proportional to 352,593 and 529,659

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Solution

The third proportional to 352,593 and 529,659 is: 795,644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,593 : 529,659 = 529,659 : x
  2. Step 2: Convert to fraction form
    352,593/529,659 = 529,659/x
  3. Step 3: Cross multiply
    352,593x = 529,659 × 529,659
  4. Step 4: Simplify right side
    352,593x = 280,538,656,281
  5. Step 5: Solve for x
    x = 280,538,656,281/352,593
  6. Step 6: Final answer
    x = 795,644.43

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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.