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Finding the Third Proportional to 314.13 and 663.88

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Solution

The third proportional to 314.13 and 663.88 is: 1,403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.13 : 663.88 = 663.88 : x
  2. Step 2: Convert to fraction form
    314.13/663.88 = 663.88/x
  3. Step 3: Cross multiply
    314.13x = 663.88 × 663.88
  4. Step 4: Simplify right side
    314.13x = 440,730.02
  5. Step 5: Solve for x
    x = 440,730.02/314.13
  6. Step 6: Final answer
    x = 1,403.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.