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Finding the Third Proportional to 382 and 578.50

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Solution

The third proportional to 382 and 578.50 is: 876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    382 : 578.50 = 578.50 : x
  2. Step 2: Convert to fraction form
    382/578.50 = 578.50/x
  3. Step 3: Cross multiply
    382x = 578.50 × 578.50
  4. Step 4: Simplify right side
    382x = 334,662.25
  5. Step 5: Solve for x
    x = 334,662.25/382
  6. Step 6: Final answer
    x = 876.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.