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Finding the Third Proportional to 464.25 and 689.25

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Solution

The third proportional to 464.25 and 689.25 is: 1,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.25 : 689.25 = 689.25 : x
  2. Step 2: Convert to fraction form
    464.25/689.25 = 689.25/x
  3. Step 3: Cross multiply
    464.25x = 689.25 × 689.25
  4. Step 4: Simplify right side
    464.25x = 475,065.56
  5. Step 5: Solve for x
    x = 475,065.56/464.25
  6. Step 6: Final answer
    x = 1,023.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.