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Finding the Third Proportional to 352,410.75 and 567,435.38

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Solution

The third proportional to 352,410.75 and 567,435.38 is: 913,658.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,410.75 : 567,435.38 = 567,435.38 : x
  2. Step 2: Convert to fraction form
    352,410.75/567,435.38 = 567,435.38/x
  3. Step 3: Cross multiply
    352,410.75x = 567,435.38 × 567,435.38
  4. Step 4: Simplify right side
    352,410.75x = 321,982,904,801.39
  5. Step 5: Solve for x
    x = 321,982,904,801.39/352,410.75
  6. Step 6: Final answer
    x = 913,658.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.