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Finding the Third Proportional to 496.97 and 702.84

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Solution

The third proportional to 496.97 and 702.84 is: 994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.97 : 702.84 = 702.84 : x
  2. Step 2: Convert to fraction form
    496.97/702.84 = 702.84/x
  3. Step 3: Cross multiply
    496.97x = 702.84 × 702.84
  4. Step 4: Simplify right side
    496.97x = 493,989.34
  5. Step 5: Solve for x
    x = 493,989.34/496.97
  6. Step 6: Final answer
    x = 994.00

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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.