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Finding the Third Proportional to 495.56 and 756.28

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Solution

The third proportional to 495.56 and 756.28 is: 1,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.56 : 756.28 = 756.28 : x
  2. Step 2: Convert to fraction form
    495.56/756.28 = 756.28/x
  3. Step 3: Cross multiply
    495.56x = 756.28 × 756.28
  4. Step 4: Simplify right side
    495.56x = 571,961.33
  5. Step 5: Solve for x
    x = 571,961.33/495.56
  6. Step 6: Final answer
    x = 1,154.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.