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Finding the Third Proportional to 352,517 and 529,557

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Solution

The third proportional to 352,517 and 529,557 is: 795,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,517 : 529,557 = 529,557 : x
  2. Step 2: Convert to fraction form
    352,517/529,557 = 529,557/x
  3. Step 3: Cross multiply
    352,517x = 529,557 × 529,557
  4. Step 4: Simplify right side
    352,517x = 280,430,616,249
  5. Step 5: Solve for x
    x = 280,430,616,249/352,517
  6. Step 6: Final answer
    x = 795,509.48

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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.