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Finding the Third Proportional to 499.29 and 749.88

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Solution

The third proportional to 499.29 and 749.88 is: 1,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.29 : 749.88 = 749.88 : x
  2. Step 2: Convert to fraction form
    499.29/749.88 = 749.88/x
  3. Step 3: Cross multiply
    499.29x = 749.88 × 749.88
  4. Step 4: Simplify right side
    499.29x = 562,324.23
  5. Step 5: Solve for x
    x = 562,324.23/499.29
  6. Step 6: Final answer
    x = 1,126.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.