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Finding the Third Proportional to 464.48 and 708.12

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Solution

The third proportional to 464.48 and 708.12 is: 1,079.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.48 : 708.12 = 708.12 : x
  2. Step 2: Convert to fraction form
    464.48/708.12 = 708.12/x
  3. Step 3: Cross multiply
    464.48x = 708.12 × 708.12
  4. Step 4: Simplify right side
    464.48x = 501,429.95
  5. Step 5: Solve for x
    x = 501,429.95/464.48
  6. Step 6: Final answer
    x = 1,079.54

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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.