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Finding the Third Proportional to 492.38 and 702.94

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Solution

The third proportional to 492.38 and 702.94 is: 1,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.38 : 702.94 = 702.94 : x
  2. Step 2: Convert to fraction form
    492.38/702.94 = 702.94/x
  3. Step 3: Cross multiply
    492.38x = 702.94 × 702.94
  4. Step 4: Simplify right side
    492.38x = 494,121.13
  5. Step 5: Solve for x
    x = 494,121.13/492.38
  6. Step 6: Final answer
    x = 1,003.55

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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.