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Finding the Third Proportional to 529.66 and 1,084.96

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Solution

The third proportional to 529.66 and 1,084.96 is: 2,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.66 : 1,084.96 = 1,084.96 : x
  2. Step 2: Convert to fraction form
    529.66/1,084.96 = 1,084.96/x
  3. Step 3: Cross multiply
    529.66x = 1,084.96 × 1,084.96
  4. Step 4: Simplify right side
    529.66x = 1,177,131.76
  5. Step 5: Solve for x
    x = 1,177,131.76/529.66
  6. Step 6: Final answer
    x = 2,222.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.