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Finding the Third Proportional to 702.38 and 1,085.25

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Solution

The third proportional to 702.38 and 1,085.25 is: 1,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.38 : 1,085.25 = 1,085.25 : x
  2. Step 2: Convert to fraction form
    702.38/1,085.25 = 1,085.25/x
  3. Step 3: Cross multiply
    702.38x = 1,085.25 × 1,085.25
  4. Step 4: Simplify right side
    702.38x = 1,177,767.56
  5. Step 5: Solve for x
    x = 1,177,767.56/702.38
  6. Step 6: Final answer
    x = 1,676.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.