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Finding the Third Proportional to 499.92 and 955.76

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Solution

The third proportional to 499.92 and 955.76 is: 1,827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.92 : 955.76 = 955.76 : x
  2. Step 2: Convert to fraction form
    499.92/955.76 = 955.76/x
  3. Step 3: Cross multiply
    499.92x = 955.76 × 955.76
  4. Step 4: Simplify right side
    499.92x = 913,473.00
  5. Step 5: Solve for x
    x = 913,473.00/499.92
  6. Step 6: Final answer
    x = 1,827.23

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.