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Finding the Third Proportional to 352,552.50 and 687,393

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Solution

The third proportional to 352,552.50 and 687,393 is: 1,340,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,552.50 : 687,393 = 687,393 : x
  2. Step 2: Convert to fraction form
    352,552.50/687,393 = 687,393/x
  3. Step 3: Cross multiply
    352,552.50x = 687,393 × 687,393
  4. Step 4: Simplify right side
    352,552.50x = 472,509,136,449
  5. Step 5: Solve for x
    x = 472,509,136,449/352,552.50
  6. Step 6: Final answer
    x = 1,340,251.84

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.