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Finding the Third Proportional to 378.98 and 585.49

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Solution

The third proportional to 378.98 and 585.49 is: 904.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.98 : 585.49 = 585.49 : x
  2. Step 2: Convert to fraction form
    378.98/585.49 = 585.49/x
  3. Step 3: Cross multiply
    378.98x = 585.49 × 585.49
  4. Step 4: Simplify right side
    378.98x = 342,801.10
  5. Step 5: Solve for x
    x = 342,801.10/378.98
  6. Step 6: Final answer
    x = 904.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.