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Finding the Third Proportional to 468.28 and 699.89

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Solution

The third proportional to 468.28 and 699.89 is: 1,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.28 : 699.89 = 699.89 : x
  2. Step 2: Convert to fraction form
    468.28/699.89 = 699.89/x
  3. Step 3: Cross multiply
    468.28x = 699.89 × 699.89
  4. Step 4: Simplify right side
    468.28x = 489,846.89
  5. Step 5: Solve for x
    x = 489,846.89/468.28
  6. Step 6: Final answer
    x = 1,046.05

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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.