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Finding the Third Proportional to 492.54 and 1,071.77

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Solution

The third proportional to 492.54 and 1,071.77 is: 2,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.54 : 1,071.77 = 1,071.77 : x
  2. Step 2: Convert to fraction form
    492.54/1,071.77 = 1,071.77/x
  3. Step 3: Cross multiply
    492.54x = 1,071.77 × 1,071.77
  4. Step 4: Simplify right side
    492.54x = 1,148,698.30
  5. Step 5: Solve for x
    x = 1,148,698.30/492.54
  6. Step 6: Final answer
    x = 2,332.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.