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Finding the Third Proportional to 702.25 and 1,657.38

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Solution

The third proportional to 702.25 and 1,657.38 is: 3,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.25 : 1,657.38 = 1,657.38 : x
  2. Step 2: Convert to fraction form
    702.25/1,657.38 = 1,657.38/x
  3. Step 3: Cross multiply
    702.25x = 1,657.38 × 1,657.38
  4. Step 4: Simplify right side
    702.25x = 2,746,891.89
  5. Step 5: Solve for x
    x = 2,746,891.89/702.25
  6. Step 6: Final answer
    x = 3,911.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.