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Finding the Third Proportional to 382 and 784.25

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Solution

The third proportional to 382 and 784.25 is: 1,610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382 : 784.25 = 784.25 : x
  2. Step 2: Convert to fraction form
    382/784.25 = 784.25/x
  3. Step 3: Cross multiply
    382x = 784.25 × 784.25
  4. Step 4: Simplify right side
    382x = 615,048.06
  5. Step 5: Solve for x
    x = 615,048.06/382
  6. Step 6: Final answer
    x = 1,610.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.