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Finding the Third Proportional to 368.94 and 575.75

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Solution

The third proportional to 368.94 and 575.75 is: 898.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.94 : 575.75 = 575.75 : x
  2. Step 2: Convert to fraction form
    368.94/575.75 = 575.75/x
  3. Step 3: Cross multiply
    368.94x = 575.75 × 575.75
  4. Step 4: Simplify right side
    368.94x = 331,488.06
  5. Step 5: Solve for x
    x = 331,488.06/368.94
  6. Step 6: Final answer
    x = 898.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.