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Finding the Third Proportional to 708.38 and 1,094.25

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Solution

The third proportional to 708.38 and 1,094.25 is: 1,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.38 : 1,094.25 = 1,094.25 : x
  2. Step 2: Convert to fraction form
    708.38/1,094.25 = 1,094.25/x
  3. Step 3: Cross multiply
    708.38x = 1,094.25 × 1,094.25
  4. Step 4: Simplify right side
    708.38x = 1,197,383.06
  5. Step 5: Solve for x
    x = 1,197,383.06/708.38
  6. Step 6: Final answer
    x = 1,690.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.