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Finding the Third Proportional to 334.41 and 492.84

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Solution

The third proportional to 334.41 and 492.84 is: 726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.41 : 492.84 = 492.84 : x
  2. Step 2: Convert to fraction form
    334.41/492.84 = 492.84/x
  3. Step 3: Cross multiply
    334.41x = 492.84 × 492.84
  4. Step 4: Simplify right side
    334.41x = 242,894.96
  5. Step 5: Solve for x
    x = 242,894.96/334.41
  6. Step 6: Final answer
    x = 726.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.