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Finding the Third Proportional to 499.22 and 1,052.58

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Solution

The third proportional to 499.22 and 1,052.58 is: 2,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.22 : 1,052.58 = 1,052.58 : x
  2. Step 2: Convert to fraction form
    499.22/1,052.58 = 1,052.58/x
  3. Step 3: Cross multiply
    499.22x = 1,052.58 × 1,052.58
  4. Step 4: Simplify right side
    499.22x = 1,107,920.71
  5. Step 5: Solve for x
    x = 1,107,920.71/499.22
  6. Step 6: Final answer
    x = 2,219.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.