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Finding the Third Proportional to 464.88 and 706.38

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Solution

The third proportional to 464.88 and 706.38 is: 1,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.88 : 706.38 = 706.38 : x
  2. Step 2: Convert to fraction form
    464.88/706.38 = 706.38/x
  3. Step 3: Cross multiply
    464.88x = 706.38 × 706.38
  4. Step 4: Simplify right side
    464.88x = 498,965.64
  5. Step 5: Solve for x
    x = 498,965.64/464.88
  6. Step 6: Final answer
    x = 1,073.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.