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Finding the Third Proportional to 499.50 and 1,079.16

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Solution

The third proportional to 499.50 and 1,079.16 is: 2,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.50 : 1,079.16 = 1,079.16 : x
  2. Step 2: Convert to fraction form
    499.50/1,079.16 = 1,079.16/x
  3. Step 3: Cross multiply
    499.50x = 1,079.16 × 1,079.16
  4. Step 4: Simplify right side
    499.50x = 1,164,578.21
  5. Step 5: Solve for x
    x = 1,164,578.21/499.50
  6. Step 6: Final answer
    x = 2,331.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.