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Finding the Third Proportional to 495.56 and 707.81

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Solution

The third proportional to 495.56 and 707.81 is: 1,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.56 : 707.81 = 707.81 : x
  2. Step 2: Convert to fraction form
    495.56/707.81 = 707.81/x
  3. Step 3: Cross multiply
    495.56x = 707.81 × 707.81
  4. Step 4: Simplify right side
    495.56x = 500,998.54
  5. Step 5: Solve for x
    x = 500,998.54/495.56
  6. Step 6: Final answer
    x = 1,010.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.