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Finding the Third Proportional to 702.56 and 1,541.81

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Solution

The third proportional to 702.56 and 1,541.81 is: 3,383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.56 : 1,541.81 = 1,541.81 : x
  2. Step 2: Convert to fraction form
    702.56/1,541.81 = 1,541.81/x
  3. Step 3: Cross multiply
    702.56x = 1,541.81 × 1,541.81
  4. Step 4: Simplify right side
    702.56x = 2,377,185.79
  5. Step 5: Solve for x
    x = 2,377,185.79/702.56
  6. Step 6: Final answer
    x = 3,383.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.