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Finding the Third Proportional to 499.43 and 756.07

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Solution

The third proportional to 499.43 and 756.07 is: 1,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.43 : 756.07 = 756.07 : x
  2. Step 2: Convert to fraction form
    499.43/756.07 = 756.07/x
  3. Step 3: Cross multiply
    499.43x = 756.07 × 756.07
  4. Step 4: Simplify right side
    499.43x = 571,642.32
  5. Step 5: Solve for x
    x = 571,642.32/499.43
  6. Step 6: Final answer
    x = 1,144.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.