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Finding the Third Proportional to 275.34 and 596.06

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Solution

The third proportional to 275.34 and 596.06 is: 1,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.34 : 596.06 = 596.06 : x
  2. Step 2: Convert to fraction form
    275.34/596.06 = 596.06/x
  3. Step 3: Cross multiply
    275.34x = 596.06 × 596.06
  4. Step 4: Simplify right side
    275.34x = 355,290.50
  5. Step 5: Solve for x
    x = 355,290.50/275.34
  6. Step 6: Final answer
    x = 1,290.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.