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Finding the Third Proportional to 491.81 and 1,092.84

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Solution

The third proportional to 491.81 and 1,092.84 is: 2,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.81 : 1,092.84 = 1,092.84 : x
  2. Step 2: Convert to fraction form
    491.81/1,092.84 = 1,092.84/x
  3. Step 3: Cross multiply
    491.81x = 1,092.84 × 1,092.84
  4. Step 4: Simplify right side
    491.81x = 1,194,307.46
  5. Step 5: Solve for x
    x = 1,194,307.46/491.81
  6. Step 6: Final answer
    x = 2,428.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.