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Finding the Third Proportional to 352,779 and 529,964.25

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Solution

The third proportional to 352,779 and 529,964.25 is: 796,141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,779 : 529,964.25 = 529,964.25 : x
  2. Step 2: Convert to fraction form
    352,779/529,964.25 = 529,964.25/x
  3. Step 3: Cross multiply
    352,779x = 529,964.25 × 529,964.25
  4. Step 4: Simplify right side
    352,779x = 280,862,106,278.06
  5. Step 5: Solve for x
    x = 280,862,106,278.06/352,779
  6. Step 6: Final answer
    x = 796,141.79

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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.