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Finding the Third Proportional to 325.90 and 504.14

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Solution

The third proportional to 325.90 and 504.14 is: 779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.90 : 504.14 = 504.14 : x
  2. Step 2: Convert to fraction form
    325.90/504.14 = 504.14/x
  3. Step 3: Cross multiply
    325.90x = 504.14 × 504.14
  4. Step 4: Simplify right side
    325.90x = 254,157.77
  5. Step 5: Solve for x
    x = 254,157.77/325.90
  6. Step 6: Final answer
    x = 779.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.