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Finding the Third Proportional to 265.13 and 604.31

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Solution

The third proportional to 265.13 and 604.31 is: 1,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.13 : 604.31 = 604.31 : x
  2. Step 2: Convert to fraction form
    265.13/604.31 = 604.31/x
  3. Step 3: Cross multiply
    265.13x = 604.31 × 604.31
  4. Step 4: Simplify right side
    265.13x = 365,193.60
  5. Step 5: Solve for x
    x = 365,193.60/265.13
  6. Step 6: Final answer
    x = 1,377.44

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.