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Finding the Third Proportional to 715.94 and 1,083.88

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Solution

The third proportional to 715.94 and 1,083.88 is: 1,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.94 : 1,083.88 = 1,083.88 : x
  2. Step 2: Convert to fraction form
    715.94/1,083.88 = 1,083.88/x
  3. Step 3: Cross multiply
    715.94x = 1,083.88 × 1,083.88
  4. Step 4: Simplify right side
    715.94x = 1,174,785.02
  5. Step 5: Solve for x
    x = 1,174,785.02/715.94
  6. Step 6: Final answer
    x = 1,640.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.