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Finding the Third Proportional to 468.70 and 699.26

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Solution

The third proportional to 468.70 and 699.26 is: 1,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.70 : 699.26 = 699.26 : x
  2. Step 2: Convert to fraction form
    468.70/699.26 = 699.26/x
  3. Step 3: Cross multiply
    468.70x = 699.26 × 699.26
  4. Step 4: Simplify right side
    468.70x = 488,961.49
  5. Step 5: Solve for x
    x = 488,961.49/468.70
  6. Step 6: Final answer
    x = 1,043.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.