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Finding the Third Proportional to 468.25 and 708.88

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Solution

The third proportional to 468.25 and 708.88 is: 1,073.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.25 : 708.88 = 708.88 : x
  2. Step 2: Convert to fraction form
    468.25/708.88 = 708.88/x
  3. Step 3: Cross multiply
    468.25x = 708.88 × 708.88
  4. Step 4: Simplify right side
    468.25x = 502,503.77
  5. Step 5: Solve for x
    x = 502,503.77/468.25
  6. Step 6: Final answer
    x = 1,073.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.