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Finding the Third Proportional to 366.05 and 575.30

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Solution

The third proportional to 366.05 and 575.30 is: 904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.05 : 575.30 = 575.30 : x
  2. Step 2: Convert to fraction form
    366.05/575.30 = 575.30/x
  3. Step 3: Cross multiply
    366.05x = 575.30 × 575.30
  4. Step 4: Simplify right side
    366.05x = 330,966.49
  5. Step 5: Solve for x
    x = 330,966.49/366.05
  6. Step 6: Final answer
    x = 904.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.