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Finding the Third Proportional to 363.47 and 546.94

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Solution

The third proportional to 363.47 and 546.94 is: 823.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.47 : 546.94 = 546.94 : x
  2. Step 2: Convert to fraction form
    363.47/546.94 = 546.94/x
  3. Step 3: Cross multiply
    363.47x = 546.94 × 546.94
  4. Step 4: Simplify right side
    363.47x = 299,140.63
  5. Step 5: Solve for x
    x = 299,140.63/363.47
  6. Step 6: Final answer
    x = 823.02

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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.