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Finding the Third Proportional to 380.25 and 526.50

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Solution

The third proportional to 380.25 and 526.50 is: 729

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.25 : 526.50 = 526.50 : x
  2. Step 2: Convert to fraction form
    380.25/526.50 = 526.50/x
  3. Step 3: Cross multiply
    380.25x = 526.50 × 526.50
  4. Step 4: Simplify right side
    380.25x = 277,202.25
  5. Step 5: Solve for x
    x = 277,202.25/380.25
  6. Step 6: Final answer
    x = 729

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.