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Finding the Third Proportional to 352,560 and 529,617

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Solution

The third proportional to 352,560 and 529,617 is: 795,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,560 : 529,617 = 529,617 : x
  2. Step 2: Convert to fraction form
    352,560/529,617 = 529,617/x
  3. Step 3: Cross multiply
    352,560x = 529,617 × 529,617
  4. Step 4: Simplify right side
    352,560x = 280,494,166,689
  5. Step 5: Solve for x
    x = 280,494,166,689/352,560
  6. Step 6: Final answer
    x = 795,592.71

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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.