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Finding the Third Proportional to 504.25 and 694.38

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Solution

The third proportional to 504.25 and 694.38 is: 956.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.25 : 694.38 = 694.38 : x
  2. Step 2: Convert to fraction form
    504.25/694.38 = 694.38/x
  3. Step 3: Cross multiply
    504.25x = 694.38 × 694.38
  4. Step 4: Simplify right side
    504.25x = 482,156.64
  5. Step 5: Solve for x
    x = 482,156.64/504.25
  6. Step 6: Final answer
    x = 956.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.