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Finding the Third Proportional to 553.08 and 1,304.86

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Solution

The third proportional to 553.08 and 1,304.86 is: 3,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.08 : 1,304.86 = 1,304.86 : x
  2. Step 2: Convert to fraction form
    553.08/1,304.86 = 1,304.86/x
  3. Step 3: Cross multiply
    553.08x = 1,304.86 × 1,304.86
  4. Step 4: Simplify right side
    553.08x = 1,702,657.99
  5. Step 5: Solve for x
    x = 1,702,657.99/553.08
  6. Step 6: Final answer
    x = 3,078.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.