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Finding the Third Proportional to 499.29 and 1,084.01

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Solution

The third proportional to 499.29 and 1,084.01 is: 2,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.29 : 1,084.01 = 1,084.01 : x
  2. Step 2: Convert to fraction form
    499.29/1,084.01 = 1,084.01/x
  3. Step 3: Cross multiply
    499.29x = 1,084.01 × 1,084.01
  4. Step 4: Simplify right side
    499.29x = 1,175,072.94
  5. Step 5: Solve for x
    x = 1,175,072.94/499.29
  6. Step 6: Final answer
    x = 2,353.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.