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Finding the Third Proportional to 355,660.88 and 533,496.38

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Solution

The third proportional to 355,660.88 and 533,496.38 is: 800,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,660.88 : 533,496.38 = 533,496.38 : x
  2. Step 2: Convert to fraction form
    355,660.88/533,496.38 = 533,496.38/x
  3. Step 3: Cross multiply
    355,660.88x = 533,496.38 × 533,496.38
  4. Step 4: Simplify right side
    355,660.88x = 284,618,382,138.14
  5. Step 5: Solve for x
    x = 284,618,382,138.14/355,660.88
  6. Step 6: Final answer
    x = 800,252.16

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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.