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Finding the Third Proportional to 364.97 and 546.19

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Solution

The third proportional to 364.97 and 546.19 is: 817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.97 : 546.19 = 546.19 : x
  2. Step 2: Convert to fraction form
    364.97/546.19 = 546.19/x
  3. Step 3: Cross multiply
    364.97x = 546.19 × 546.19
  4. Step 4: Simplify right side
    364.97x = 298,320.79
  5. Step 5: Solve for x
    x = 298,320.79/364.97
  6. Step 6: Final answer
    x = 817.39

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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.