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Finding the Third Proportional to 501.94 and 706.97

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Solution

The third proportional to 501.94 and 706.97 is: 995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.94 : 706.97 = 706.97 : x
  2. Step 2: Convert to fraction form
    501.94/706.97 = 706.97/x
  3. Step 3: Cross multiply
    501.94x = 706.97 × 706.97
  4. Step 4: Simplify right side
    501.94x = 499,804.81
  5. Step 5: Solve for x
    x = 499,804.81/501.94
  6. Step 6: Final answer
    x = 995.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.