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Finding the Third Proportional to 364.36 and 574.45

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Solution

The third proportional to 364.36 and 574.45 is: 905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.36 : 574.45 = 574.45 : x
  2. Step 2: Convert to fraction form
    364.36/574.45 = 574.45/x
  3. Step 3: Cross multiply
    364.36x = 574.45 × 574.45
  4. Step 4: Simplify right side
    364.36x = 329,996.39
  5. Step 5: Solve for x
    x = 329,996.39/364.36
  6. Step 6: Final answer
    x = 905.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.