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Finding the Third Proportional to 355.92 and 544.08

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Solution

The third proportional to 355.92 and 544.08 is: 831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.92 : 544.08 = 544.08 : x
  2. Step 2: Convert to fraction form
    355.92/544.08 = 544.08/x
  3. Step 3: Cross multiply
    355.92x = 544.08 × 544.08
  4. Step 4: Simplify right side
    355.92x = 296,021.01
  5. Step 5: Solve for x
    x = 296,021.01/355.92
  6. Step 6: Final answer
    x = 831.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.