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Finding the Third Proportional to 415.69 and 492.19

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Solution

The third proportional to 415.69 and 492.19 is: 582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.69 : 492.19 = 492.19 : x
  2. Step 2: Convert to fraction form
    415.69/492.19 = 492.19/x
  3. Step 3: Cross multiply
    415.69x = 492.19 × 492.19
  4. Step 4: Simplify right side
    415.69x = 242,248.54
  5. Step 5: Solve for x
    x = 242,248.54/415.69
  6. Step 6: Final answer
    x = 582.77

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.