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Finding the Third Proportional to 352,802.25 and 529,997.63

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Solution

The third proportional to 352,802.25 and 529,997.63 is: 796,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,802.25 : 529,997.63 = 529,997.63 : x
  2. Step 2: Convert to fraction form
    352,802.25/529,997.63 = 529,997.63/x
  3. Step 3: Cross multiply
    352,802.25x = 529,997.63 × 529,997.63
  4. Step 4: Simplify right side
    352,802.25x = 280,897,482,505.64
  5. Step 5: Solve for x
    x = 280,897,482,505.64/352,802.25
  6. Step 6: Final answer
    x = 796,189.60

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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.